{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ARIMA模型与GARCH模型"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 目录\n",
    "1. 什么是AR模型？\n",
    "2. 什么是MA模型？\n",
    "3. ARIMA模型案例\n",
    "4. 什么是ARCH?\n",
    "5. GARCH模型案例"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 什么是AR模型？\n",
    "\n",
    "AR(p)模型试图捕捉(解释)动量和均值回归效果。\n",
    "\n",
    "AR模型，也就是自回归。\n",
    "\n",
    "自回归很容易理解，也就是自己对自己以前的值做回归。最简单的AR(1),也就是自己对自己上一个时间点的值做回归。$\\epsilon_t$为误差项。\n",
    "\n",
    "AR(1): \n",
    "\n",
    "$X_t=\\beta_1 X_{t-1}+\\epsilon_t$\n",
    "\n",
    "\n",
    "AR(2): \n",
    "\n",
    "$X_t=\\beta_1 X_{t-1}+\\beta_2 X_{t-2}+\\epsilon_t$\n",
    "\n",
    "\n",
    "AR(p): \n",
    "\n",
    "$X_t=\\beta_1 X_{t-1}+\\beta_2 X_{t-2}+...\\beta_p X_{t-p}+\\epsilon_t$\n",
    "\n",
    "\n",
    "下面我们模拟一段AR(1)的序列,我们设定$\\beta$为0.5, -0.5, 0.9, -0.9。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JrIKQ1y1ExRRq7OwZiQPjVBB1//xVeHIqLVnoaalBCLmSEHKIEHKEEHJzqc/P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\niXkGk9hNmDBhYp7h/wMBFmA8ZGax0wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b52667be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "e = np.random.normal(0, 1, 100)\n",
    "beta = [0.5, -0.5, 0.9, -0.9]\n",
    "for n, j in enumerate(beta):\n",
    "    ar1=np.zeros(101)\n",
    "    ax=plt.subplot(2, 2, n+1)\n",
    "    for i in np.arange(100):\n",
    "        ar1[i+1]=j*ar1[i]+e[i]\n",
    "    ax.plot(ar1, label=j)\n",
    "    plt.legend(loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 什么是MA模型？\n",
    "\n",
    "MA(q)模型试图捕捉(解释)冲击影响白噪声条件。这些冲击效应可以被认为是意外事件影响观测过程,例如情绪恐慌等。\n",
    "\n",
    "MA(1)\n",
    "$$X_t=\\epsilon_t+\\theta_1\\epsilon_{t-1}$$\n",
    "\n",
    "MA(p)\n",
    "$$X_t=\\epsilon_t+\\theta_1\\epsilon_{t-1}+...+\\theta_p\\epsilon_{t-p}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DQM4hnxeKRnmg8vRUCvtOTWJDZxPOMWMTi6LWTJQFZBkMYtcR8Hl5zIOdN1fw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\nib2LLrroYoPh/wP+KXDkaE/igQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b52667710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "e = np.random.normal(0,1,100)\n",
    "theta = [0.5, -0.5, 0.9, -0.9]\n",
    "for n, j in enumerate(theta):\n",
    "    ma1=np.zeros(101)\n",
    "    ax=plt.subplot(2, 2, n+1)\n",
    "    for i in np.arange(100):\n",
    "        ma1[i+1] = j*e[i-1]+e[i]\n",
    "    ax.plot(ma1, label=j)\n",
    "    plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 什么是ARIMA模型？\n",
    "ARMA模型其实就是将AR和MA模型结合起来。看一个ARMA(1,1)模型好了。\n",
    "$$X_t=\\beta_1 X_{t-1}+\\epsilon_t+\\theta_1\\epsilon_{t-1}$$"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**ARIMA建模步骤：**\n",
    "    1. 检验平稳性，非平稳需要做差分与去趋势的操作。\n",
    "    2. 确定平稳后，需要对模型定阶\n",
    "    3. 评估模型的绩效，对残差进行分析，如果不好需要重新建模\n",
    "    4. 模拟数据并反转化到序列预测\n",
    "    \n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 导入模块\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.graphics.api import qqplot\n",
    "import scipy.stats as scs\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 读取数据\n",
    "data = pd.read_excel('./HFData.xlsx').set_index('datetime')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "datetime\n",
      "2018-06-01 09:30:00    3764.4\n",
      "2018-06-01 09:35:00    3766.8\n",
      "2018-06-01 09:40:00    3761.6\n",
      "2018-06-01 09:45:00    3758.8\n",
      "2018-06-01 09:50:00    3755.4\n",
      "Name: close, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(data.close.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "datetime\n",
      "2019-02-14 13:20:00    1.0\n",
      "2019-02-14 13:25:00    2.6\n",
      "2019-02-14 13:30:00   -2.6\n",
      "2019-02-14 13:35:00    6.8\n",
      "2019-02-14 13:40:00   -2.8\n",
      "Name: close, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# 进行差分\n",
    "diffClose = data.close.diff().dropna()[-500:]\n",
    "\n",
    "print(diffClose.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fAS8G3l5V362qTcCH+PcpGq8H3lVVW5qv/8tV9TDwMuAbVXVDVR2oqo8B/wq8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\nn5cn2++a4EgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b05fcf208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察处理数据后的ACF和PACF\n",
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1=fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(diffClose,lags=10,ax=ax1)#自相关系数图\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(diffClose,lags=10,ax=ax2)#偏自相关系数图\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF 检验p-value结果为：  0.0007177360623283547\n"
     ]
    }
   ],
   "source": [
    "from statsmodels.tsa.stattools import adfuller \n",
    "#平稳性检验\n",
    "print(u'ADF 检验p-value结果为： ', adfuller(diffClose)[1])  \n",
    "#一阶差分后的序列的时序图在均值附近比较平稳的波动， 自相关性有很强的短期相关性， 单位根检验 p值需要小于 0.05 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## aic/bic 定阶"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4, 3)\n",
      "(0, 0)\n"
     ]
    }
   ],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\") \n",
    "\n",
    "order_a=sm.tsa.arma_order_select_ic(diffClose,max_ar=6,max_ma=4,ic='aic')['aic_min_order']  # AIC\n",
    "order_b=sm.tsa.arma_order_select_ic(diffClose,max_ar=6,max_ma=4,ic='bic')['bic_min_order']  # BIC\n",
    "print(order_a)\n",
    "print (order_b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                              ARMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:                  close   No. Observations:                  450\n",
      "Model:                     ARMA(4, 3)   Log Likelihood               -1603.887\n",
      "Method:                       css-mle   S.D. of innovations              8.487\n",
      "Date:                Mon, 24 Jun 2019   AIC                           3223.773\n",
      "Time:                        13:33:22   BIC                           3256.647\n",
      "Sample:                    02-14-2019   HQIC                          3236.730\n",
      "                         - 02-27-2019                                         \n",
      "===============================================================================\n",
      "                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-------------------------------------------------------------------------------\n",
      "ar.L1.close    -1.4240      0.048    -29.398      0.000      -1.519      -1.329\n",
      "ar.L2.close    -1.4644      0.069    -21.216      0.000      -1.600      -1.329\n",
      "ar.L3.close    -0.9685      0.069    -14.116      0.000      -1.103      -0.834\n",
      "ar.L4.close    -0.0207      0.048     -0.431      0.667      -0.115       0.074\n",
      "ma.L1.close     1.4717      0.016     94.815      0.000       1.441       1.502\n",
      "ma.L2.close     1.4728      0.036     41.367      0.000       1.403       1.543\n",
      "ma.L3.close     0.9950      0.030     33.613      0.000       0.937       1.053\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                 Real           Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "AR.1           -0.2321           -0.9735j            1.0008           -0.2873\n",
      "AR.2           -0.2321           +0.9735j            1.0008            0.2873\n",
      "AR.3           -1.0658           -0.0000j            1.0658           -0.5000\n",
      "AR.4          -45.2011           -0.0000j           45.2011           -0.5000\n",
      "MA.1           -1.0040           -0.0000j            1.0040           -0.5000\n",
      "MA.2           -0.2381           -0.9718j            1.0005           -0.2882\n",
      "MA.3           -0.2381           +0.9718j            1.0005            0.2882\n",
      "-----------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "xLen = 500\n",
    "predictLag = 50\n",
    "train=diffClose[-xLen : -predictLag]\n",
    "\n",
    "Model = sm.tsa.ARMA(train, order=(4,3))\n",
    "arma = Model.fit(trend='nc', disp=-1)\n",
    "print(arma.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 计算模型得分\n",
    "模型得分越接近1越好。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.05854440432146335\n"
     ]
    }
   ],
   "source": [
    "delta = arma.fittedvalues - train\n",
    "score = 1 - delta.var()/train.var()\n",
    "print(score)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对残差进行分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "resid =arma.resid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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V5vg3PMtaJemwpWqq33BJkiRJRz9HjCVJkiQMxpIkSRJgMJYkSZIAg7EkSZIE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\nkiTAYCxJkiQB8P8DtCYpD5Pesb4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b6c8bbd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察残差的ACF和PACF，判断ARMA模型是否完全涵盖了模型的自相关性\n",
    "# 如果完全包含，则残差不应该自相关\n",
    "# 如果观察到残差自相关，说明ARMA模型的阶数有问题，或者ARMA模型本身有问题\n",
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(resid, lags=5, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(resid, lags=5, ax=ax2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 用ARIMA预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                      predict  actual\n",
      "datetime                             \n",
      "2019-02-27 14:50:00  0.575431    17.6\n",
      "2019-02-27 14:55:00  3.145757    -0.4\n",
      "2019-02-28 09:30:00 -4.403016     9.2\n",
      "2019-02-28 09:35:00  1.124328   -22.4\n",
      "2019-02-28 09:40:00  1.788006     9.0\n",
      "2019-02-28 09:45:00  0.006694     4.6\n",
      "2019-02-28 09:50:00 -3.625513     3.8\n",
      "2019-02-28 09:55:00  3.397799     6.2\n",
      "2019-02-28 10:00:00  0.427204   -10.2\n",
      "2019-02-28 10:05:00 -2.072739     7.0\n",
      "2019-02-28 10:10:00 -0.889752     7.6\n",
      "2019-02-28 10:15:00  3.818065    -0.6\n",
      "2019-02-28 10:20:00 -2.135249    -6.0\n",
      "2019-02-28 10:25:00 -1.645845     8.8\n",
      "2019-02-28 10:30:00  1.791016   -15.6\n",
      "2019-02-28 10:35:00  1.848672     7.8\n",
      "2019-02-28 10:40:00 -3.616883     4.0\n",
      "2019-02-28 10:45:00  0.742666     1.8\n",
      "2019-02-28 10:50:00  2.411343    -1.6\n",
      "2019-02-28 10:55:00 -1.056522    -9.4\n",
      "2019-02-28 11:00:00 -2.670973     3.0\n",
      "2019-02-28 11:05:00  2.999706    -9.6\n",
      "2019-02-28 11:10:00  0.613095     3.4\n",
      "2019-02-28 11:15:00 -2.656938   -13.0\n",
      "2019-02-28 11:20:00  0.035691    10.6\n",
      "2019-02-28 11:25:00  3.183961     2.0\n",
      "2019-02-28 13:00:00 -2.025545    -2.2\n",
      "2019-02-28 13:05:00 -1.757695     5.6\n",
      "2019-02-28 13:10:00  2.384596     1.8\n",
      "2019-02-28 13:15:00  1.074113     8.4\n",
      "2019-02-28 13:20:00 -3.277104    -2.8\n",
      "2019-02-28 13:25:00  0.820501     2.6\n",
      "2019-02-28 13:30:00  2.540816    -6.8\n",
      "2019-02-28 13:35:00 -1.667895    -1.0\n",
      "2019-02-28 13:40:00 -2.072420   -15.0\n",
      "2019-02-28 13:45:00  2.915654     0.0\n",
      "2019-02-28 13:50:00  0.445719     3.2\n",
      "2019-02-28 13:55:00 -2.862554   -10.8\n",
      "2019-02-28 14:00:00  0.642582    12.6\n",
      "2019-02-28 14:05:00  2.784714    -3.2\n",
      "2019-02-28 14:10:00 -2.143132     1.2\n",
      "2019-02-28 14:15:00 -1.589129    -6.6\n",
      "2019-02-28 14:20:00  2.690855     0.6\n",
      "2019-02-28 14:25:00  0.513327     5.4\n",
      "2019-02-28 14:30:00 -3.087861     3.2\n",
      "2019-02-28 14:35:00  1.072115    -2.4\n",
      "2019-02-28 14:40:00  2.442187    -8.2\n",
      "2019-02-28 14:45:00 -2.067569     9.4\n",
      "2019-02-28 14:50:00 -1.606482    -1.0\n",
      "2019-02-28 14:55:00  2.927753    -2.2\n"
     ]
    }
   ],
   "source": [
    "Y = diffClose[-predictLag:]\n",
    "predict = arma.predict(start=(len(diffClose[-xLen:])-predictLag-1),end=len(diffClose[-xLen:]),dynamic=True)[-predictLag:]\n",
    "\n",
    "predict.index = Y.index\n",
    "chart = pd.concat([predict,Y], axis=1, keys=['predict', 'actual'])\n",
    "print (chart)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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88FbJNNjRkvvm/MVgTi/WLB3KLEd0sgQk6xdvM3doeJ9DHnOs7ouFNwBQOHNO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FgoDIX6/Zfvu8OGWaGU6GoZk4zib/D3mYGQeFvtsjqJJUwGhvs4r+wVylo+0MyS7DiWz4rjmf11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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b06394c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察预测值与实际值\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(15,8))\n",
    "ax.plot(chart.predict.values, label='predict')\n",
    "ax.plot(chart.actual.values, label='actual')\n",
    "ax.legend(loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nkmGWk+bMeYZITPeAC4N4O7s2MadfS4u5jlT4tDhzgR+HaprLML9/omqWcj8z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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b06107940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察拟合的值与训练值\n",
    "fig, ax = plt.subplots(figsize=(15,8))\n",
    "plt.plot(arma.fittedvalues.values)\n",
    "plt.plot(train[0:].values)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ARMA模型存在严重的波动集群，应考虑异方差模型。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 用ARIMA模型进行预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 还原价差\n",
    "transformDiff = data.close.shift(1)+chart.predict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "dataPredict = pd.DataFrame({'transformDiff': transformDiff, 'close': data.close.iloc[-xLen:]})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "dataPredictPlot = dataPredict.reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TERERucCi8dEh1fnekrmQuFyGmuIALzbZzUZu31wNwLHOwdw9yXSGgXhqWuHu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\nFneSJEmSlAMWd5IkSZKUA/8HtLKX56bMekEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b061bbb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察预测的值\n",
    "fig, ax = plt.subplots(figsize=(15,8))\n",
    "plt.plot(dataPredictPlot['close'])\n",
    "plt.plot(dataPredictPlot['transformDiff'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 作业\n",
    "根据ARIMA模型对其他时间段的收益率做预测。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 什么是ARCH模型？\n",
    "ARCH模型的基本思想是指在以前信息集下，某一时刻一个噪声的发生是服从正态分布。该正态分布的均值为零，方差是一个随时间变化的量(即为条件异方差)。并且这个随时间变化的方差是过去有限项噪声值平方的线性组合(即为自回归)。这样就构成了自回归条件异方差模型。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GkG3HLwN/WFWbqupp4Ddo3G+tU19+u6p2VdXXga8D4wVsSTokBmNJ08UvVtXc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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b0644d9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 观察残差平方的自相关性\n",
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(resid**2, lags=10, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(resid**2, lags=10, ax=ax2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 构建AR(4)+GARCH(1, 1)模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from arch import arch_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration:      5,   Func. Count:     64,   Neg. LLF: 1708.047543829128\n",
      "Iteration:     10,   Func. Count:    126,   Neg. LLF: 1702.7651460135385\n",
      "Iteration:     15,   Func. Count:    186,   Neg. LLF: 1700.6819142853956\n",
      "Iteration:     20,   Func. Count:    242,   Neg. LLF: 1700.4243537149878\n",
      "Optimization terminated successfully.    (Exit mode 0)\n",
      "            Current function value: 1700.42415845727\n",
      "            Iterations: 22\n",
      "            Function evaluations: 264\n",
      "            Gradient evaluations: 22\n",
      "                              AR - GARCH Model Results                              \n",
      "====================================================================================\n",
      "Dep. Variable:                        close   R-squared:                      -0.002\n",
      "Mean Model:                              AR   Adj. R-squared:                 -0.011\n",
      "Vol Model:                            GARCH   Log-Likelihood:               -1700.42\n",
      "Distribution:      Standardized Student's t   AIC:                           3418.85\n",
      "Method:                  Maximum Likelihood   BIC:                           3456.71\n",
      "                                              No. Observations:                  496\n",
      "Date:                      Mon, Jun 24 2019   Df Residuals:                      487\n",
      "Time:                              13:39:20   Df Model:                            9\n",
      "                                  Mean Model                                  \n",
      "==============================================================================\n",
      "                  coef    std err          t      P>|t|       95.0% Conf. Int.\n",
      "------------------------------------------------------------------------------\n",
      "Const           0.2086      0.316      0.660      0.509      [ -0.411,  0.828]\n",
      "close[1]   -7.9658e-03  4.582e-02     -0.174      0.862 [-9.777e-02,8.184e-02]\n",
      "close[2]       -0.0144  4.297e-02     -0.334      0.738 [-9.858e-02,6.985e-02]\n",
      "close[3]   -7.0037e-03  4.671e-02     -0.150      0.881 [-9.856e-02,8.455e-02]\n",
      "close[4]   -5.0018e-03  4.573e-02     -0.109      0.913 [-9.463e-02,8.463e-02]\n",
      "                              Volatility Model                             \n",
      "===========================================================================\n",
      "                 coef    std err          t      P>|t|     95.0% Conf. Int.\n",
      "---------------------------------------------------------------------------\n",
      "omega          0.7628      0.818      0.932      0.351    [ -0.840,  2.366]\n",
      "alpha[1]       0.0561  4.240e-02      1.324      0.186 [-2.698e-02,  0.139]\n",
      "beta[1]        0.9356  4.802e-02     19.484  1.491e-84    [  0.842,  1.030]\n",
      "                              Distribution                              \n",
      "========================================================================\n",
      "                 coef    std err          t      P>|t|  95.0% Conf. Int.\n",
      "------------------------------------------------------------------------\n",
      "nu             5.1912      1.480      3.508  4.513e-04 [  2.291,  8.091]\n",
      "========================================================================\n",
      "\n",
      "Covariance estimator: robust\n"
     ]
    }
   ],
   "source": [
    "garchModle = arch_model(diffClose,mean='ARX',lags=4, vol='Garch',p=1,q=1,dist='t')\n",
    "res = garchModle.fit(update_freq=5)\n",
    "print(res.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "forecasts = res.forecast()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "garchResid = res.resid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7q+pzwOeAqQK2JB0Rg7Gko8VrqmpxVZ1ZVb9wIOQmuSTJZ9qtBntohblTOh63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\nS5IkSYDBWJIkSQIMxpIkSRIA/z9jhwC50z+OKgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b0632d358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf((garchResid.dropna()), lags=10, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf((garchResid.dropna()), lags=10, ax=ax2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QVd+rhn8BvgL8VMtyw8D7qmpPVe1uZ0NVdU1V/aCq9gC/C5w5cgazDRfTCIFD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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b0605eba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf((garchResid.dropna()**2), lags=10, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf((garchResid.dropna()**2), lags=10, ax=ax2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可见该模型残差的方差还有未能解释的波动"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 滚动预测策略思路\n",
    "1. 预测均值，大于0即可持有多头，小于0平仓\n",
    "2. 根据条件异方差，过大可减少仓位加大止损止盈\n",
    "3. 根据残差波动率来预测异常的波动率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "index = diffClose.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                     forecastMean  forecastVariance\n",
      "forecastDateTime                                   \n",
      "2019-02-27 14:45:00      0.375441         97.404606\n",
      "2019-02-27 14:50:00      0.626383        109.917894\n",
      "2019-02-27 14:55:00     -0.275001        103.516831\n",
      "2019-02-28 09:30:00      0.734192        102.582255\n",
      "2019-02-28 09:35:00     -0.896586        129.534316\n",
      "2019-02-28 09:40:00      1.004591        127.730149\n",
      "2019-02-28 09:45:00      0.082879        120.325856\n",
      "2019-02-28 09:50:00      0.185926        113.517117\n",
      "2019-02-28 09:55:00      0.213696        108.921339\n",
      "2019-02-28 10:00:00     -0.280423        108.655401\n",
      "2019-02-28 10:05:00      0.525741        105.046201\n",
      "2019-02-28 10:10:00      0.143881        103.008271\n",
      "2019-02-28 10:15:00      0.031996         96.512156\n",
      "2019-02-28 10:20:00      0.078959         92.513342\n",
      "2019-02-28 10:25:00      0.655022         92.481375\n",
      "2019-02-28 10:30:00     -0.422346        104.298276\n",
      "2019-02-28 10:35:00      0.669809        101.232775\n",
      "2019-02-28 10:40:00      0.406357         96.338026\n",
      "2019-02-28 10:45:00     -0.027869         89.654771\n",
      "2019-02-28 10:50:00      0.229978         83.373531\n",
      "2019-02-28 10:55:00      0.126718         84.211979\n",
      "2019-02-28 11:00:00      0.534856         78.646795\n",
      "2019-02-28 11:05:00      0.229282         80.620851\n",
      "2019-02-28 11:10:00      0.539062         75.762255\n",
      "2019-02-28 11:15:00      0.320032         83.792501\n",
      "2019-02-28 11:20:00      0.580332         85.669273\n",
      "2019-02-28 11:25:00      0.475009         79.820854\n",
      "2019-02-28 13:00:00      0.317949         74.713723\n",
      "2019-02-28 13:05:00      0.308057         71.176361\n",
      "2019-02-28 13:10:00      0.353087         66.110586\n",
      "2019-02-28 13:15:00      0.291773         66.438652\n",
      "2019-02-28 13:20:00      0.268873         62.159386\n",
      "2019-02-28 13:25:00      0.350848         57.583946\n",
      "2019-02-28 13:30:00      0.530538         57.325015\n",
      "2019-02-28 13:35:00      0.578680         52.870445\n",
      "2019-02-28 13:40:00      0.796254         69.226748\n",
      "2019-02-28 13:45:00      0.755668         64.710037\n",
      "2019-02-28 13:50:00      0.821036         60.680783\n",
      "2019-02-28 13:55:00      0.808116         66.831402\n",
      "2019-02-28 14:00:00      0.358170         73.156217\n",
      "2019-02-28 14:05:00      0.547716         69.072733\n",
      "2019-02-28 14:10:00      0.561676         64.494573\n",
      "2019-02-28 14:15:00      0.601228         64.072003\n",
      "2019-02-28 14:20:00      0.607006         59.436437\n",
      "2019-02-28 14:25:00      0.536895         57.205551\n",
      "2019-02-28 14:30:00      0.626306         53.682997\n",
      "2019-02-28 14:35:00      0.573439         50.958985\n",
      "2019-02-28 14:40:00      0.695452         53.773563\n",
      "2019-02-28 14:45:00      0.404629         56.167642\n",
      "2019-02-28 14:50:00      0.791904         52.277182\n"
     ]
    }
   ],
   "source": [
    "index = diffClose.index\n",
    "nLen = 50\n",
    "start_loc = 0\n",
    "end_loc = np.where(index >= index[-nLen])[0].min()\n",
    "forecastsDict = {'forecastMean' : [], 'forecastVariance' : [], 'forecastDateTime': []}\n",
    "\n",
    "\n",
    "for i in range(nLen):\n",
    "    res = garchModle.fit(first_obs=i, last_obs=i+end_loc, disp='off')\n",
    "    varPredict = res.forecast(horizon=1).variance\n",
    "    meanPredict = res.forecast(horizon=1).mean\n",
    "    fcastTime = varPredict.iloc[i+end_loc-1].name\n",
    "    forecastsDict['forecastDateTime'].append(fcastTime)\n",
    "    forecastsDict['forecastVariance'].append(varPredict.loc[fcastTime].values[0])\n",
    "    forecastsDict['forecastMean'].append(meanPredict.loc[fcastTime].values[0])\n",
    "\n",
    "forecastsDf = pd.DataFrame(forecastsDict).set_index('forecastDateTime')\n",
    "print(forecastsDf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 求预测残差的标准差\n",
    "forecastsDf['forecastVolatility'] = np.sqrt(forecastsDf['forecastVariance'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "volPredict = pd.DataFrame({\n",
    "                           'close': data.close.values[-500:],\n",
    "                           'residual': res.resid,\n",
    "                           'forecastVolatility': forecastsDf['forecastVolatility'],\n",
    "                           'conditional_volatility': res.conditional_volatility\n",
    "                          })\n",
    "volChart = volPredict.reset_index()[-300:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3BTm3WQo+BdAiIhFauxY++wzuvRdKRvGv6JNP2sDCU0+N3jFFxPJ1r7/evkSi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u+zVIlbfFA6VxEO76x6PX9IYWqga2GgTWBd/rysEg7KUnm9rQYDnTsrLhxmu5YCoAn4lOXJsyAr\noQDaOZkst7GjDDTNO6hUbMbrbUaxOGrbTvdxA9Dp9F6kUj9Be/t74fEkGAPNcWJVEEmZxFLJnYFe\nioSDHIfqthdsSXXkmlrKvkPBeXUATUrPezE5+XXHtnIXDoD0YdX8vmsNr7cJsjxpmey7r5bZ2/oK\nXHVV0rZq5vN1guO8yOUOweOpq7oiABB5gyg2QFGmWAXeWnM+ysMdQE8wBtrjSTBAX03CoWkFKMqU\npYy3k4GmDli1jrtWAF1uxWYNK2iu5FTV1vYOdHb+PXy+TvZeFQqnwPM+lBcjsx7X622FqqaNZ8Sz\niQ/HifB6myGKTUyLfqYyiGBwi1HV+HkMQFv9t61/VzsfJfqoyYJb0JUbcp2rAHo1agyPJ4KGhlcD\nWJr+GSCsSDR6FcLhS5FI3Hg2mucIOsCQJJ3alxsXC8IauEk4ygH0C6DrRaTTT1i2xysu+QSDW5HN\nHoIsTyw6qPr9RAfNcR72I25qug3F4jAmJ4mR/IUEoP8vBc+L8HjqjOx2CqArJxHSqCThIHaFZACN\nRK6ALI8bzNL5YaCpftSUcJABmnjJrtzvjJ4TcGegTRs7KwNtJhFWYkoDgT4Ui6aPazUGulAYwaFD\nfwSPJ4G2tndYSkqnDF12ZSJgMQmHIAQZO1ctrPpz8nfaSOyrA3UqWi6AFsU46utvxuTkN5nDBg1V\nzTAHB3NVZQrVKk7WGpSBpsCwlr6K4zhHEjLHCWwscrOwcz83Ae9Wfe5ywi7hmDL+HrdZHFKJSWUJ\nh5lTU55kbgXQi60qOttmzUuo/Jx4XmLvaSUGOhBYi56eOw1tNXmvNC23KOilOS802ZVeqyR1GMns\n1sTX5TPQALBmzT9h27ZfQhD8Dgaa3ntB8NsSNN0iErkCmzf/kFnxVQoKoBcbpy/EWAXQ5zFaWv4C\nwNL0zzQ2bboP27b9/Jywz4AJoEWxcUXPSYt4EO/kWTYIEAmHOdCTYgAc5uZ+47q9PEKhrdD1IhYW\nHlvU3otmpHu9rQyQ19ffDEGIIJV6GIIQrco8rMbZDVrOW5bH4fHEKjI1pFMnA1F5EiEBBhpyuWNs\nVSES2QVdLxmrFGdTA+0E/KSynpOBNt8z9axJONx+N+U2doQR9huuHBoDeuWseCBACmKk08+y7bTd\nFHQDRMO+b9+LoSgz2Lr1YYhizPBgP2nkO1SWbwAm45XPn0CpNAeO89hWDTiOw+bND6C9/V013QOT\ngSYAmrCp1Nqtuew7tQFoAGhufiNKpRSmp39k+9yagEbfU1Ie3P2+LiVMBnoYAFe1iMliQUHqYvIN\nGqLYCFmeQjZ7AIIQsklClhIUQGuazFYDiRMSZaBjzF6zkoTDrKY44EgyN5/77DIAdG0SDtI2WhBr\ncZkjzYUg7asOoKmemBaMoX/T++3mHLPckKQWRKO7jOOSgimUgbaTFOQ5VMr94TgO9fWvWFRnXlf3\nQuM4qwz0aiwhotHno7f3k8vSs3o8ERvLdbbDHFxWRv9Mw+dbA03LQ1GSOHr0Ddi794XQddWwLjIH\nVVGM2XTQ5RKP8qCOBMSTs/rMljpx2H2D/WyFoByMrca5DVqNcLESwYDZwZcz0DShamHhMcPmrt5m\n03W2GGhRbHCV2xAGetZhs2hluFaagTZlDtUkHEVbIRUA0LRCRQ00tcekhZ1IKW8vOM5rY6CHhu5E\noXASW7b8BJEIWdr1+0kRI1meqqp/Boi2WZK6kE4/yYpFlE/kE4nrF7VgpOCCMtDWZXmzj7NPeOh9\nqwVAx+MvgdfbhomJe22fl4MvUvRndNHiHLUE8R9OolAYhNfbdEbyLgpSa10V9XoboShTyGT2Ixjc\nvOwkMEEIGWXJzZoARMJhlopuafkL9PR8vOIYRJxFeORyx10kHOZzJwBaqHksqzWJEFgagCbtopPa\nxRhoAqBNBppUD5SkTtt5SVLpyuXjSFI7dL1ouG3U2Vx46ATkTBlvSWpBX9+X0dr6ljM6zvmIVQB9\nHoPjOHR0vGfZs/ZzGW7G+ysR9Nozmb1IpR5EoXACmcw+kOqBdoBcV/cCLCw8bljLVQfQgcB6cJzH\n1vZKQS2dygff5ubbjM9X5RvnM4jOMskqeFULsp1zgCC/vw8eTxzz84+jWByCJHXYnutK643pQFsJ\n8FslHB5PjLE0VpC10qC+2iTYamNnlvL2GZ/lK0o4KFNJE+fodVuX5HVdw9TUdxGPvwx1dWZZaZ+v\nB7peQja7f1G9LUAS3xYWTAC9nDCTCO0MNGAmIJbfn6Uw0BwnoLn5NqRSD9kKRJHzmOCLFv2ppC1f\nSpB2achknq1J/1wtls5AmxIOWjVyOUHvDU2oA0wGmsgGffD7ewy3GfcVUGs1xXIJB89L4Hk/A9Ck\nol5tQFMQQiiVFrexA8izsK7CLBamrKo6gI5EdkEQIsyyrlzKQd/NlbaBo2NiOv2Ug/mn21binK2t\nb6rqVX2hxiqAXo2awpRwrCwDTZeiRkY+zZIUk8nvA3AuNdfVXQNNKxiDaHUAzfMSW15eTFtlMtB2\noByNXo1gcAtCoe1LuKLVWOmgAJpUIXTXP9Pw+9fC5+txLBtyHIdo9EosLDxmVAfstA0IKw1WOU6A\nIIQqAn5rEqH1/TybANrvX4NNm77vqkksd+FwMtDuQE8QApCkTqTTe2zbrQB6YeFxyPIoK/phtodI\n18pXmypFJHI5isVB5HLHzgBAu2ug8f/Zu+/wqKqtgcO/PTPpBQIECCT0Ij1AQJqAiICAoGIBKaII\nNhQ7WNH7KSoWEDuCqFwERcSKIF3qhYD03oSEkoSWBEJI2d8fU8gkkzLJTGYC630eHjJnTlnh5IQ1\n66yzN+bfcT4+lfL87FxJoIv2u888qVW23bj1uR9A8/OrzuXLx11UgTbHdeHCzhIn0KGhHfHxCS/y\nMJm+vpXJzr5IZubZYvc/w5Xv3zomMlypQBd2dyKnwMAGXLy431KBNtq1Ul350BrvVFHEaAyxjOaU\nVWgCXbXqfbZJSYqiqBVoX9/KdOp0jgoVetheN2jwBRERD1peWxPoklWDc7vSOnUgz+8y6+9PVx+z\nLHE8J6UQubivhcOcQJ85swB//9pkZp4nKWm+5Zj2CfKVPugVhfZAg/VBwh2FVqB9fatSufK9lklK\nrlDKQOvWm0ttiDrhmK9vuOU/MF1oBbp27QlERTkeFz00tAOnT/+OweBvm3xIKZNl+DXXJqtgvr1q\n/RCXm3lmtEwuXTqSK4F2XwsHQHj47Q6X5x4H2voQIUBWVlqBvbqBgQ05e3axXcw5E+iEhLko5Zfn\n+rLe+YGCh7Czsk56kZq62Tbzn7OsCZX5gdIssrMv2NptqlcfTYUKvfJs40wFGq58MMg5QVRWVmqu\nofKqkZ5+IsfoHCWtQANklfhuWVDQdXTsmFDk9XP2rVqnXS+OKwm0eSp0f/9aXL58EqVMTo2vHxDQ\ngPPn15CREWN5yPxKtdqaQKenxzmV7JvbS9Lt4sxPhQo9bElu0fZdzhJb4d9j7sp7zglrrD8Drp6L\nIOdd2dx306ytjUW5e3S1kgRaFIm7WjjMfVXmp5wrV76HCxd2c/r0L5Zj2l+Y5mm9m3PmzEKys9MK\nvXCDg1uQkPBdoRVopRSNG89y+F7OadqFZ5iHUMwA8m+JuLJuWL7/iVj7oLOzL+HnV8Py9Hp10tP/\ndfkwdgAtW/5tS0JzuzIG7D7bQzRgX4F2dVtJQXIOY2etQFtHacjOTiuw1cA+gbavQGudTWLiXCpW\nvCXPg7h+fpG2DzBFqUCbRyIwAlnFrnoZDCbLLflzdtNrg7lFzNHYwOXK3UBq6pYiH9NkqoDRGGxX\nTc3MTLE9rAzWVqMsW5JdkgQ6513BklagnZWzoOKKCrS1hSMoqBmpqf9gMAQ6VYEOCKhPVlYKFy/u\nyrOdeTQf84PqFSrc4nRs5n249mHyolagC2M9D66uBts/NGj/uzc8/B7AYOubvxZJC4coEutDC9Z2\nB1dRStmq0OHh91C+fGfbe45+cZrHg14LFP7J1/ogYVkcX1JcYV+5K7iFoyDmcUnNdxOsiYa1wuKO\nCrSPT0VyT31tlXNYrdKsQOcn5zB2zvRAA3ZV9twVaHP7xnHbA7n2xzTaejmLkiQZjYG2KmdJEgVr\nJTLn9NoFqVSpHy1aLC7y6EPm32m1c1Wg7XugrR8ErZNTlfQhQqvSfl7D+rvV17dakT4E5ce+hcNI\nYGAjy0Qqp51KLq093CkpsXn+fzCZypOefpTs7AtOtnC475osag90YdzVA20w+No+oOV+RshkCiYi\n4v5SGwnMG0kCLYokIKAOMTHbqVixr8v3HRjYhKCgpgQHt7CrADmeprvg93MKC+tOw4YzCAsr+i01\n4X1yJpglGaLLaAyyTfRw5Sn2SNt7pSlnAmifQAcBqtRjutLCcRHQuXqgC65ABwQ0tH19pQIdRGZm\nMkeO/B8GQ0Ce9g0ra1W2qLeBrW0cJUmgjUbzrJQ5p9d2NX//WnYV6NyjcFh/ji9e3A8YbQ9xFofJ\nFGy7g1LaIwZZWziCg4v/ACHYJ9A+PhXx86uG1hmW185UoM0JtKM7lCZTedLSDgDOfdCwT6C9swJt\nvpMb7Jah4KyJc2F3/65FkkCLIgsOLv4wRQVp2HAqLVosRylFUFALyy8px7MM5qxQF9bbrJSRiIjh\nhY5DKbxb7t7RkrC2cZRGBbogORPAnHdIzBNcWKu4pZ9AW6uyBoOPg4cIHSd61qHslDLZ3jcag7lw\nYRtnzy6ibt0P8r31be2DLupt+tDQ6y3rFz+B9vGpQEZGoi2BdscY79YKtNYarTVZWal2x7E+gJWW\nth+jMbjEVTxrBdITFWilTAQFtSjRfq7MwHkCX9/Ktu+nKJOM5OTvH2W7m+KohQM04GwCHeLwa1dw\nVQKtlKJFi+VERT3rirDsXJl9UBLo3KTBU3hczvGsrbMspqTEOkzWfXwqWh4O3FboQ4Ti6pBzHO+i\nPsiVn2rVHkIp3xz/KZj/Iy3NfmPIvwIN1vaHFJffLi6IUuYPmdakMmcF2voQoXm2v7yJnp9fdQyG\nQMv4z9bquTn2KlWGFDi+q7+/+YG7olYZryTQxW8XCApqyqlTs2yTqbirAp2VlUJm5hlLK4zONQ50\nFUCRnX3RJZU9X98qXLp0uNSrhAaDH82bLyrREHZgX+X18Qm3u86dqUBbZ1O8eHGnwwq0lbe1cLii\n9cI6vrqrXalAFzzG+rVIKtDC69Su/Sb163+a7/vWNo5r+enfa4n1ToP54SzHsxAWVVBQE+rVe8/2\n4axcuU4EBDSwtXSUloITaOuMdaWX1CulLJOfWCvQ9g8RZmdfyDcepQwEBjaw+xBSrlxnwsJupkGD\nzwusroaF3URwcKsiT9wRGNiYRo1mU7nywKJ+a3mEhLQlKys5x9jV7qlAg3Va6bytIgaDj+12uyuS\nMl/fCHx9Izxyty0srBu+vgXfDSxMQQm0s8mltQ86d+J95ZrLO058UWNz9c+Kn1+E3d/eKCioBT4+\nlVw+AtfVQCrQwuuEhLSyzbzkSPXqozEag0tcjRRlg9EYhMEQ4JZbiKGhbbn++r0u329hcrYn5X7I\n9UoCXXoVaDBXE+0r0FceIrRWoPMTGtqO1NTtttdVqw6hatUhhR4zJKQlMTGbihyjUooqVYqfPAO2\nySjOnVsK2N8BcxXrw5FpaYftHqzMyc+vGhkZp1zyQalGjRe4fPl4iffjKTk/fOVNoJ2722CdBCb3\nHUprAm2e7KToHzTcWYGuWLEvrVpttA196I2qVRtJlSpDpBXSAUmgRZkTGNiAOnUmeDoMUYrM/6l6\nb5XGWdaZ0cwPO+Vt4TCvU7ptJeYEOtXydd6JVAqKp169ybaJkLxdYGBDjMYQzp9fDbivhQPMFWjr\nCCa5h3kzt1v845IE2l2370uLwWDCYPAnO/sSvr6VMRpDba+dHaGisAq0s33iOXvXXd0vr5TR68+d\nUkZMptL9MF9WuLyFQyn1rlJqj1Jqm1JqvlKqfI73XlBKHVBK7VVK9XT1sYUQV9vxj5UAACAASURB\nVKfIyDFERIzwdBgudWUIq0q5llsr0K4fm7ogSl1JoB2NwlFQomcw+JX6g5jFpZSRkJDWZGdfAtyT\nQPv4lMdkKs+lS4c5c2YRPj5V8oxUceUBVklO4Mq/g49POEqpHEOzOVeBDg5uDZCnqlvcBNoal1I+\ntodthQD39EAvBppqrZsD+4AXAJRSjYGBQBOgF/CpkinehBBFEBX1tMMpqMsyk6k8JlNYnlujRqN5\nWDJ3jHhTEIPBL8coHPYPERbUA10WWYfDA6OtVcXVzEPZHeLs2cVUqNAjz/m0tiSV9p0Gb5UzgYbi\nj20cEhJN+/YnLBPvXFHSBFo+6IjcXP4bWmv9l75yL289YP1p7Q/M0Vqna60PAweAto72IYQQVzuT\nqbzDWTJ9fMI98oBs3h5oE2AkK+s8ly4ds02DfTWw9kGbTCFumwjC3782Z88uJyMjyeFY9NYRMyQx\nM7P+O1hH3bkyPbXzI674+eV9Pqa4CbR5jG3lljsVomxzdw/0A8D3lq+rY06oreIsy/JQSo0CRgHU\nqFG6T8cLIURpCAlpbRtKLaeaNV8iIuLBUo/HPApHkuVrc1XcaAzg+PGpZGUlExHxQKnH5C7WCrQ7\nkyJ//1ponQ5AhQp5E2hrBfpqquyXxJUKtHV2Q2sFOu98AMXh51eDsLDuhIV1d2o769js8kFH5Fas\nBFoptQRwNATCS1rrXyzrvARkArOc3b/WeiowFSAmJkYXJ0YhhPBm9et/5HC5r28VjwwZlbMCbTD4\nWv4OICMjkcqV76Vixd6lHpO7+PlF4uNTxa1VdetQdsHBLfOMtAJXxtWVBNosdwtHePg9lklmXNPp\naTT606LF4mLHJhVokVuxEmitdYEf4ZRSw4G+wE1aa2sCHA/knGc00rJMCCGEhxkMfrYH66wzChoM\ngZhMFalXb7InQ3M5pRQVK/a2fWBwB+tIHBUqOH5e/koFWiqbYP13MNhaNsLCuhIW1tWjMVlJBVo4\n4vIWDqVUL+B5oIvW+mKOt34FvlNKfQBUA+oDG1x9fCGEEM7LOcKAtQJdp86b+PlF2s0GebVo2HC6\n2/qfAUJCYggIaEDlyoMcvu/jE0716qOpWLGP22IoS4zGEHx8Kpb6w7NFERzcAj+/qMJXFNcUd/RA\nfwz4AYstv5zWa60f1lrvVEr9AOzC3NrxmNY6yw3HF0II4SSl/HJ8bU6gq1QZ7Klw3M6dyTOYZ5cr\naJIepVS+bTzXourVn/DaDxNNmsz1dAjCC7k8gdZa5zsnq9b6TeBNVx9TCCFEyTiqQAtRWkJDY7x+\nUhEhcvK+eyVCCCFKXc4E2lqBFkII4Zgk0EIIIeySZqlACyFEwSSBFkIIkasC7VPAmkIIISSBFkII\nIT3QQgjhBEmghRBCSA+0EEI4QRJoIYQQdsPYSQVaCCEKJgm0EEII6YEWQggnSAIthBDClkArZfLK\n2eCEEMKbyG9JIYQQORJoad8QQojCSAIthBDCljhL/7MQQhROEmghhBA5KtDS/yyEEIWRBFoIIYS0\ncAghhBMkgRZCCGEbxk5aOIQQonCSQAshhJAKtBBCOEESaCGEELYEWirQQghROEmghRBCSAVaCCGc\nIAm0EEIIGcZOCCGcIAm0EEIIGcZOCCGc4LYEWin1jFJKK6Uq5Vj2glLqgFJqr1Kqp7uOLYQQwjnS\nAy2EEEVncsdOlVJRQA/gaI5ljYGBQBOgGrBEKdVAa53ljhiEEEIUnXUYO+mBFkKIwrmrAj0JeB7Q\nOZb1B+ZordO11oeBA0BbNx1fCCGEE6QCLYQQRefyBFop1R+I11pvzfVWdeBYjtdxlmVCCCE8TEbh\nEEKIoitWC4dSaglQ1cFbLwEvYm7fKDal1ChgFECNGjVKsishhBBFIBVoIYQoumIl0Frr7o6WK6Wa\nAbWBrUopgEhgs1KqLRAPROVYPdKyzNH+pwJTAWJiYrSjdYQQQriOtfIsFWghhCicS1s4tNbbtdaV\ntda1tNa1MLdptNJanwR+BQYqpfyUUrWB+sAGVx5fCCFE8UgFWgghis4to3A4orXeqZT6AdgFZAKP\nyQgcQgjhHZQyoJRJxoEWQogicGsCbalC53z9JvCmO48phBCieHx9q+LrW8XTYQghhNcrtQq0EEII\n79aq1QZMpvKeDkMIIbyeJNBCCCEA8POL8HQIQghRJrhtKm8hhBBCCCGuRpJACyGEEEII4QRJoIUQ\nQgghhHCC0tq75ylRSiUC/3rg0JWAJA8cVxRMzot3kvPiveTceCc5L95Jzot3Kq3zUlNrHV6UFb0+\ngfYUpVSs1jrG03EIe3JevJOcF+8l58Y7yXnxTnJevJM3nhdp4RBCCCGEEMIJkkALIYQQQgjhBEmg\n8zfV0wEIh+S8eCc5L95Lzo13kvPineS8eCevOy/SAy2EEEIIIYQTpAIthBBCCCGEEySBFkIIIYQQ\nwgnXZAKtlIpSSi1XSu1SSu1USo2xLK+glFqslNpv+TssxzYvKKUOKKX2KqV6ei76q1cB5+U1pVS8\nUmqL5U/vHNvIeSkFSil/pdQGpdRWy7l53bJcrhkPKuC8yDXjBZRSRqXUP0qp3y2v5XrxAg7Oi1wv\nHqaUOqKU2m7594+1LPPq6+Wa7IFWSkUAEVrrzUqpEGATcBswHDijtX5bKTUOCNNaj1VKNQZmA22B\nasASoIHWOssz38HVqYDzcjeQqrV+L9f6cl5KiVJKAUFa61SllA+wGhgD3IFcMx5TwHnphVwzHqeU\nehqIAUK11n2VUhOR68XjHJyX15DrxaOUUkeAGK11Uo5lXn29XJMVaK31Ca31ZsvXKcBuoDrQH/jG\nsto3mJM3LMvnaK3TtdaHgQOYT5xwoQLOS37kvJQSbZZqeelj+aORa8ajCjgv+ZHzUkqUUpFAH2Ba\njsVyvXhYPuclP3JePMurr5drMoHOSSlVC2gJ/A+oorU+YXnrJFDF8nV14FiOzeIoOLETJZTrvAA8\nrpTappT6KsdtHDkvpchy23MLkAAs1lrLNeMF8jkvINeMp00GngeycyyT68XzHJ0XkOvF0zSwRCm1\nSSk1yrLMq6+XazqBVkoFA/OAJ7XWyTnf0+belmuvv8ULODgvnwF1gGjgBPC+B8O7Zmmts7TW0UAk\n0FYp1TTX+3LNeEA+50WuGQ9SSvUFErTWm/JbR66X0lfAeZHrxfM6WX6P3QI8ppTqnPNNb7xertkE\n2tIvOA+YpbX+ybL4lKUP19qPm2BZHg9E5dg80rJMuJij86K1PmVJErKBL7lyq0bOiwdorc8ByzH3\n2co14yVynhe5ZjyuI9DP0tc5B+imlPovcr14msPzIteL52mt4y1/JwDzMZ8Dr75erskE2vLgzXRg\nt9b6gxxv/QrcZ/n6PuCXHMsHKqX8lFK1gfrAhtKK91qR33mxXkAWtwM7LF/LeSklSqlwpVR5y9cB\nwM3AHuSa8aj8zotcM56ltX5Bax2pta4FDASWaa2HINeLR+V3XuR68SylVJBl4ACUUkFAD8znwKuv\nF1NpH9BLdASGAtstvYMALwJvAz8opUYA/2Ie/QGt9U6l1A/ALiATeEyewnWL/M7LIKVUNObbN0eA\nh0DOSymLAL5RShkxf/D+QWv9u1JqHXLNeFJ+52WmXDNeSf6P8U4T5XrxqCrAfHMNDRPwndZ6oVJq\nI158vVyTw9gJIYQQQghRXNdkC4cQQgghhBDFJQm0EEIIIYQQTpAEWgghhBBCCCdIAi2EEEIIIYQT\nJIEWQgghhBDCCZJACyGEEEII4QRJoIUQQgghhHCCJNBCCCGEEEI4QRJoIYQQQgghnOD1U3lXqlRJ\n16pVy9NhCCGEEEKIq9imTZuStNbhRVnX6xPoWrVqERsb6+kwhBBCCCHEVUwp9W9R15UWDiGEEEII\nIZwgCbQQQgghhBBOkARaCCFEgbJ1NmkZaWRlZ3k6FCGE8Ape3wMthBDCc46eP0qf7/qwI2EHAIOa\nDmLWHbNQSnk4MiHyysjIIC4ujkuXLnk6FOHF/P39iYyMxMfHp9j7kARaCCGEQ7sTd9Pjvz1ITk/m\n9a6vc+TcEWZsmUHnmp15OOZhT4cnRB5xcXGEhIRQq1Yt+ZAnHNJac/r0aeLi4qhdu3ax9yMJtBBC\niDw2xm/kllm3YDKYWDl8JdFVo8nW2cSnxPPMX88QUy2GigEVqRxUmSDfIE+HKwQAly5dkuRZFEgp\nRcWKFUlMTCzRfqQHWgghhJ2lh5Zy4zc3EuoXypoH1hBdNRoAgzLwVb+v8DP60ebLNtSZUoebvr3J\nw9EKYU+SZ1EYV/yMSAVaCCGEnRG/jiCqXBRLhy2lWkg1u/eqh1Zn9QOrWX54ObEnYvl6y9ccOnuI\nOmF1PBStEEKUPqlACyGEsHMy9ST9GvTLkzxbNQ5vzGNtH+PVzq8CMG/XvNIMTwghPE4SaCGEEDbp\nmemkZ6UT6hda6Lq1w2rTKqIVP+35qRQiE+LaNHz4cH788UcAHnzwQXbt2gXAhAkT7Nbr0KGDW4/t\nCrVq1SIpKanAdfL7vo4cOULTpk0BiI2N5YknngBgxYoVrF271mUxFpVTLRxKqa+AvkCC1rqpZdn3\nQEPLKuWBc1rraAfbHgFSgCwgU2sdU4K4hRBCuEFyejIA5fzLFWn9O667g5eXv0xcchyRoZHuDE0I\npzy58Em2nNzi0n1GV41mcq/JLt2nM6ZNm2b7esKECbz44ou2155IIt2hKN9XTEwMMTHmNHLFihUE\nBwe75QNEQZytQH8N9Mq5QGt9j9Y62pI0zwMKKkXcaFlXkmchhPBC1gS6KBVogAGNBwDw856f3RaT\nEGXJt99+S/PmzWnRogVDhw7lyJEjdOvWjebNm3PTTTdx9OhRwFzdfeKJJ+jQoQN16tSxVXq11owe\nPZqGDRvSvXt3EhISbPvu2rUrsbGxjBs3jrS0NKKjoxk8eDAAwcHBtu2fe+45mjZtSrNmzfj+++8B\nc6LZtWtX7rzzTq677joGDx6M1hqA//znP7Rp04amTZsyatQo2/KCLFy4kLvuusv2esWKFfTt2xeA\n2bNn06xZM5o2bcrYsWMdbn/bbbfRunVrmjRpwtSpUwEK/L5ysh7ryJEjfP7550yaNIno6GhWrVpF\n7dq1ycjIACA5OdnutUtprZ36A9QCdjhYroBjQP18tjsCVHL2eK1bt9ZCCCFKx6bjmzSvoX/e/XOR\nt2n0cSPd9NOm+tj5Y26MTIjC7dq1y6PH37Fjh65fv75OTEzUWmt9+vRp3bdvX/31119rrbWePn26\n7t+/v9Za6/vuu0/feeedOisrS+/cuVPXrVtXa631vHnzdPfu3XVmZqaOj4/X5cqV03PnztVaa92l\nSxe9ceNGrbXWQUFBdse2vv7xxx9t2588eVJHRUXp48eP6+XLl+vQ0FB97NgxnZWVpdu1a6dXrVpl\ni9NqyJAh+tdff7XFaD12bhkZGToqKkqnpqZqrbV++OGH9cyZM3V8fLyOiorSCQkJOiMjQ9944416\n/vz5Wmuta9asafdvo7XWFy9e1E2aNNFJSUkFfl+HDx/WTZo00VprvXz5ct2nTx+ttdbjx4/X7777\nrm394cOH2473xRdf6Kefftph/I5+VoBYXcT81JU90DcAp7TW+/PL1YElSqlNSqlRBe1IKTVKKRWr\nlIot6Th9Qgghis7ZCjTA/934fxw8c5AmnzZh2uZpRapeCXE1WrZsGXfddReVKlUCoEKFCqxbt457\n770XgKFDh7J69Wrb+rfddhsGg4HGjRtz6tQpAP7++28GDRqE0WikWrVqdOvWzakYVq9ebdu+SpUq\ndOnShY0bNwLQtm1bIiMjMRgMREdHc+TIEQCWL1/O9ddfT7NmzVi2bBk7d+4s9Dgmk4levXrx22+/\nkZmZyR9//EH//v3ZuHEjXbt2JTw8HJPJxODBg/n777/zbD9lyhRatGhBu3btOHbsGPv355c+OufB\nBx9kxowZAMyYMYP777/fJfvNzZUJ9CBgdgHvd9LmNo9bgMeUUp3zW1FrPVVrHaO1jgkPD3dhiEII\nIQribA80mNs4tj+ynVYRrRj520h6/LcHh88edleIQlw1/Pz8bF+XxgfPnMczGo1kZmZy6dIlHn30\nUX788Ue2b9/OyJEjizwV+sCBA/nhhx9YtmwZMTExhISEFGm7FStWsGTJEtatW8fWrVtp2bKly6Zf\n79ixI0eOHGHFihVkZWXZHjx0NZck0EopE3AH8H1+62it4y1/JwDzgbauOLYQQgjXOX/pPOBcBRqg\nboW6LB22lM/6fMb6uPVEfxHNkkNL3BGiEF6rW7duzJ07l9OnTwNw5swZOnTowJw5cwCYNWsWN9xw\nQ4H76Ny5M99//z1ZWVmcOHGC5cuXO1zPx8fHYW/vDTfcYNs+MTGRv//+m7Zt80+5rIlrpUqVSE1N\ndWrUjS5durB582a+/PJLBg4cCJir3CtXriQpKYmsrCxmz55Nly5d7LY7f/48YWFhBAYGsmfPHtav\nX1/o95WfkJAQUlJS7JYNGzaMe++9123VZ3BdBbo7sEdrHefoTaVUkFIqxPo10APY4aJjCyGEcJHi\ntHBYGZSBh2MeZvsj26lRrga3zLqFr/75ytUhCuG1mjRpwksvvUSXLl1o0aIFTz/9NB999BEzZsyg\nefPmzJw5kw8//LDAfdx+++3Ur1+fxo0bM2zYMNq3b+9wvVGjRtG8eXPbw3Y5t7c+xNitWzcmTpxI\n1apV8z1e+fLlGTlyJE2bNqVnz560adOmyN+v0Wikb9++/Pnnn7YHCCMiInj77be58cYbadGiBa1b\nt6Z///522/Xq1YvMzEwaNWrEuHHjaNeuXaHfV35uvfVW5s+fb3uIEGDw4MGcPXuWQYMGFfl7cZZy\n5paBUmo20BWoBJwCxmutpyulvgbWa60/z7FuNWCa1rq3UqoO5qozmIfO+05r/WZRjhkTE6NjY2OL\nHKMQQojim7BqAi8te4lLL13Cz+RX+Ab5OH/pPHf/eDeLDy5m8dDF3FRHpvwW7rd7924aNWrk6TCE\nh/3444/88ssvzJw5M991HP2sKKU26SKOFOfUONBaa4epvNZ6uINlx4Helq8PAS2cOZYQQojSl5ye\njK/Rt0TJM5h7qH+6+ydivoxhyPwhbH14K5WDKrsoSiGEcOzxxx/nzz//ZMGCBW49jsxEKIQQwiY5\nPZlyfkV/gLAgQb5BfH/n95xNO8vwn4fL6BxClFG333470dHRdn8WLVrk6bAc+uijjzhw4AANGjRw\n63GcqkALIYS4up1PP1+s/uf8NK/SnAk3TeCZv55hzbE1dKrRyWX7FsIRrTVKKU+HcVWZP39+4SuV\nIa74MC8VaCGEEDbJ6ckuTaABHmr9EGH+YUz53xSX7leI3Pz9/Tl9+rTc7RD50lpz+vRp/P39S7Qf\nqUALIYSwOX/pvFNjQBdFkG8QD7Z6kA/WfcCx88eIKhfl0v0LYRUZGUlcXBwyCZsoiL+/P5GRkSXa\nhyTQQgghbJLTk6lZvqbL9/tYm8d4f937fLrxU97q/pbL9y8EmMcQrl27tqfDENcAaeEQQghh48qH\nCHOqWb4mt113G1M3TyUtI83l+xdCiNIkCbQQQggbVz9EmNPoNqM5k3aGubvmumX/QghRWiSBFkJ4\nnV/2/MLuxN2eDuOao7V2y0OEVl1rdaVBxQZ8Hvt54SsLIYQXkwRaCOF1hs4fyuN/Pu7pMK45lzIv\nkZmd6ZYWDgClFA+3fph1cevYenKrW44hhBClQRJoIYRXSb2cSsrlFJYdXsax88c8Hc415Xz6eQC3\nVaAB7ou+Dz+jH19s+sJtxxBCCHeTBFoI4VVOpp4EQKOZtX2Wh6O5tiSnJwO4fBi7nCoEVOCepvcw\nc9tMUi+nuu04QgjhTpJACyG8ijWBDjAF8O3Wb2VChFJ0/pL7K9AAD7Z8kNTLqczffXXNbiaEuHZI\nAi2E8ConUk4AMKLlCHYn7WbTiU0ejujaYa1AuzuB7lijI7XK12LmtpluPY4QQriLUwm0UuorpVSC\nUmpHjmWvKaXilVJbLH9657NtL6XUXqXUAaXUuJIGLoS4Olkr0I9f/zh+Rj++3fqthyO6dthaONz0\nEKGVQRkY2nwoSw8v5XjKcbceSwgh3MHZCvTXQC8HyydpraMtfxbkflMpZQQ+AW4BGgODlFKNnQ1W\nCHH1O5l6EqMyUq9CPfo26MsPO38gKzvL02FdE0rjIUKroc2Hkq2z+W77d24/lhBCuJpTCbTW+m/g\nTDGO0xY4oLU+pLW+DMwB+hdjP0KIq9yJ1BNUCa6CQRkY1HQQpy6cYsWRFZ4O65pQGg8RWtWvWJ/r\nq1/P11u+Zn3cehn3WwhRpriqB/pxpdQ2S4tHmIP3qwM5x6OKsyxzSCk1SikVq5SKTUxMdFGIQoiy\n4GTqSSKCIwDoXb83wb7BzNkxx8NRXRusDxGG+IaUyvGGRw9nZ+JO2k9vT+NPG7P22NpSOa4QQpSU\nKxLoz4A6QDRwAni/pDvUWk/VWsdorWPCw8NLujshRBlyIvUEVYOrAhDgE8Bt193GvN3zSLiQQJ/v\n+vD84uc9HOHVKzk9mQBTAD5Gn1I53oOtHmTpsKX8ce8fhPqF8lnsZ6VyXCGEKKkSJ9Ba61Na6yyt\ndTbwJeZ2jdzigagcryMty4QQws7J1JO2BBpgUNNBnL10lmafNWPB/gV8tOEjW6VUFM2m45u4cPlC\noeslpyeXSvuGlclgolvtbvSu35shzYYwd+dczqQVp0tQCCFKV4kTaKVURI6XtwM7HKy2EaivlKqt\nlPIFBgK/lvTYQoirS1Z2FgkXEmwtHADd63SnQkAFUi+n8ma3N7mUeYm5u+Z6MMqyZd/pfcR8GUPN\nyTV54+83uJR5Kd91z6efL5UHCB0Z1XoU6VnpMuqKEKJMcHYYu9nAOqChUipOKTUCmKiU2q6U2gbc\nCDxlWbeaUmoBgNY6ExgNLAJ2Az9orXe68PsQQlwFEi8mkq2z7SrQvkZfFg1ZxMaRG3mh0wtcV+k6\nvtn6jQejLFsOnjkIQM3yNXll+Ss8tfCpfNdNTk92+xB2+WlRtQXXV7+eLzZ9IZPnCCG8nrOjcAzS\nWkdorX201pFa6+la66Fa62Za6+Za635a6xOWdY9rrXvn2HaB1rqB1rqu1vpNV38jQoiyzzoGdERI\nhN3ymGoxNA5vjFKKYc2HsfroaltiKAoWn2Lulvvp7p94ut3TfL7pc5YeWupwXU9WoAEeav0Qe5L2\nsPDAQo/FIIQQRSEzEQohvIY1gc5Zgc5tSPMhKBSvr3ydpYeW2oZeE47FJcehUESERPB/3f6P+hXq\nM+LXEaSkpwCQrbN5YckL/LHvD5LTkz2aQN/b7F7qhtXlmb+eISMrw2NxCCFEYSSBFkJ4Des03jl7\noHOLKhdF3wZ9mbltJt1ndqfNl21Iy0grrRDLnPjkeCoHVcbX6EugTyAz+s/g6PmjjF0yFoBvtnzD\n22ve5tbZt7I3aW+pPkSYm5/Jj/d7vM/upN0yIocQwqtJAi2E8BrWCnSV4CoFrjf/nvkcfOIgM/rP\nYN/pfby1+q3SCK9Mik+Jp3rolWH3O9boyJPtnuSz2M/4ec/PvLD0BdpFtuP2RreTkZ3hsR5oq34N\n+9G9TnfGrxjP6YunPRqLEELkRxJoIYTXOJl6klC/UAJ9Agtcz2gwUiesDsOjhzO42WDeXv02e5L2\nlFKUZUt8SjzVQ+znrXqj2xvUr1CfO76/g4QLCXx0y0fMvWsun/b+lIdaP+ShSM2UUrzf433OXTrH\n9H+mezQWIYTIjyTQQgivcSL1RIHtG4683+N9An0CGbNwjJuiKtvikuOIDI20W2Zt5QAY0XIEMdVi\nMCgDj7R5hEbhjTwRpp3mVZrTqUYnpm2eJiNyCCG8kiTQQgivkXsSlaKoElyFcZ3G8dfBv9iR4GgY\n+mtXWkYaZ9LO5KlAg7mVY+/ovXza51MPRFa4Ua1Gsf/Mflb+u9LToQghRB6SQAshvMaJ1BN5hrAr\nipGtRuJv8ufjDR+7Iaqy63jKcQC7Huic6lesX2rTdjvrzsZ3Ut6/PFM3TfV0KEIIkYck0EIIr3Eq\n9RRVggp+gNCRioEVGdR0EDO3zeTcpXNuiKxsso4B7agC7e0CfAIY0mwI83bPY/nh5aReTvV0SEII\nYSMJtBDCK2itSb2cSohvSLG2H912NBczLjLjnxkujsy7ZWZnsun4JofvxSXHAeTpgS4rHmnzCCaD\niW7fdqPCOxX4ec/P+a57NfZKp2WkyXjYQngpSaCFEF7hctZlNLrQETjy0yqiFR2iOjBx7UT2Ju0t\n1j4uZV5i+ubpZSpp+X3f78R8GcPig4vzvBefbKlA59PC4e0ahzfm8JjD/D7od5pUbsJDvz/EmbQz\nAOw/vZ/M7EwAUi+nEv1FNO+sfseT4RZbVnaWw+Xtp7dnxK8jSjkaIURRSAIthPAKFzMuAuZb98X1\nae9PycrOotOMTmyM3+j09l9v+ZoHf3uQr7d8XewYStu/5/4F4N217+Z5Lz4lnmDfYI/OLlhSlYMq\n06dBH2b0n8Hpi6cZs3AMjy94nAYfN+Ch38xD7r275l22ndrGy8tfZmfCTg9H7JyMrAxqf1ibbt90\n4+j5o7blB88cZOuprczaPosDZw54MEIhhCOSQAshvEJapnk2wQBT8RPoFlVbsOaBNQT7BtP7u962\npHz7qe38Z+V/8q30Wc3aPguAD//3YZlpCTh14RQAiw8tZuvJrXbvxSXHlcn+Z0eiq0bzbIdn+e+2\n//Lxxo+JqRbDV1u+4rONn/HeuvfoVa8X5fzK8dDvD5Gtsz0dbpFtT9jOseRjLD+ynGafNWPZ4WUA\nLDq4CACF4r2173kyRCGEA5JACyG8gnU67uK2cFjVr1ifb277hqSLSczaNgutNSN/G8n4FeOZ8r8p\n+W7377l/WX10Nc2rNGdn4k5bIuPtEi4kUN6/PMG+wfzf3//Hy8tepu6UcG9fYQAAIABJREFUumw9\nuZX4lPgy2//syPgu4xndZjSLhixizQNraBXRikcXPEpGVgaf9P6E93q8x5pja5i8fnKR9zlv1zyP\nJqjrjq0DYPl9y6kUWInnFj+H1pqFBxZSu3xtHmxlviNinaVTCOEdnEqglVJfKaUSlFI7cix7Vym1\nRym1TSk1XylVPp9tjyiltiultiilYksauBDi6uKKFg6rG2rcQHTVaKZsmMLSw0v5X/z/qBJUhReX\nvcjWk1t5fvHztPqila2fFmD2jtkAzBkwh/DAcD7834cljqM0nLpwilrla/FgyweZt3seb656k/jk\neJ5f8jzxyfFltv/ZkQCfAD7q/RE96vbA1+jLf2//L0E+QTzV7inqhNXhvhb30a9hP57565kiJ9Fv\nrX6L5xY/x/LDy90cvWPr4tYRERxBl5pdeKb9M2w+sZlVR1ex/MhyetbtybMdniUjO4MP15eNn0ch\nrhXOVqC/BnrlWrYYaKq1bg7sA14oYPsbtdbRWusYJ48rhLjKuaKFw0opxRNtn2BHwg7u/+V+IoIj\nWDdiHQGmAFp+0ZJ3177LPyf/4ctNX9q2mbV9Fu0j29MovBEPtX6I3/f9zsEzB0sci7slXEigclBl\nXrjhBUa3Gc3GkRt566a3+OvgXxxLPnbVtHA40ii8EfFPx/N297cB83mfe9dcBjQawFOLnuLz2M8L\n3P7C5QtsObkFgIf/eJj0zHS3x5zburh1tI9qj1KKoc2HEuIbwsjfRpJ6OZVe9XpRr0I9BjQawGex\nn5Gcnlzq8QkhHHMqgdZa/w2cybXsL611puXleuDquV8ohCg1rmrhsBrUbBCVAisRlxzHcx2eo3ZY\nbab3m067yHYsG7aMbrW78fHGj8nIyiD2eCw7EnYwuNlgwDx8mtFg5KMNH7kkFneyjp1dOagyH/X+\niJhqMTzS5hGiQqOAsjkGtDPK+ZdDKWV77Wv0Zc6dc+hSswuvr3ydy1mX8912Q/wGsnQWT17/JPtO\n72P8ivGl2vuecCGBQ2cP0T6yPQAhfiHc1+I+9p3eh8lg4sbaNwIwtuNYzqef54vYL0otNiFEwVzd\nA/0A8Gc+72lgiVJqk1JqVEE7UUqNUkrFKqViExMTXRyiEMIbubKFA8Df5M8z7Z+hZrmajGpt/pVz\ne6PbWTtiLTfWvpEx148hLjmO6f9MZ+CPA6kcVJmBTQcCUC2kGnc3uZuv/vmKlPQUl8TjDlprWwU6\nJ3+TP693fR2AWuVreSAyzzIZTIztOJaTqSf5cdeP+a639thaAF7t8irDWgzjnTXv0OXrLnkexnSF\nC5cvMHT+UJp/1pw6H9bhp90/2fqf20W2s633aJtHAegY1dE2ekrraq3pXqc7k9ZP8kiVXAiRl8sS\naKXUS0AmMCufVTppraOBW4DHlFKd89uX1nqq1jpGax0THh7uqhCFEF7MlS0cVuM6jePwmMME+Qbl\nea9P/T7UDavLI388wrHkY8y/Zz4VAyva3h9z/RhSLqd49ZB2qZdTSctMy5NAAwyPHs7ioYvpVS93\n1921oWe9njSo2KDAXva1cWtpHN6YsIAwvur3FV/0/YLdSbvp8nUXu/54V5i8fjL/3fZfapaviZ/J\njwd+eYB5u+dhMphoHdHatl6j8EZM6DaBl254yW77sR3HciL1BDO3zXRpXEKI4nFJAq2UGg70BQbr\nfO5/aa3jLX8nAPOBtq44thDi6mBt4XBVBdoq5+39nIwGI0+3fxqAqX2n0iGqg937bau35frq1/PR\nho+8dli0hAsJAA6nP1dK0b1Od4wGY2mH5RUMysATbZ9gQ/wG1setz/N+ts5m3bF1dIg0n3ejwcio\n1qNYNmwZ59PP8/7a910WS9LFJCauncht193Gb4N+47dBv5GRncHMbTNpWbVlnp/5F254gZvr3my3\n7KbaN9E6ojXvrHnHNoGMEMJzSpxAK6V6Ac8D/bTWF/NZJ0gpFWL9GugB7HC0rhDi2mStQLuqB7oo\nHol5hCNjjnBf9H0O3x9z/Rj2n9nPT7t/KrWYnGEdA9pRBVrAsBbDCPUL5c1Vb+bpbd6btJezl87S\nsUZHu+XNqjTj7iZ38+H/PiTpYhIXMy6y+cRm4pLjip24Tlg1gdTLqUzoNgGAehXq8U5386yJ1v7n\nwiileLnzyxw4c4Dvd3xfrDiEEK7j7DB2s4F1QEOlVJxSagTwMRACLLYMUfe5Zd1qSqkFlk2rAKuV\nUluBDcAfWuuFLvsuhBBlnq0H2oUtHIVRSlGzfM1837+ryV00q9yMZ/56xhafN7FVoIPzVqCF+aG8\nl294md/3/Z6nF3rNsTUAee48gHm86YsZF7nzhzupNbkWrae2JmpSFHWn1CXpYpJTMSRcSOCTjZ9w\nf/T9NApvZFv+aJtHee/m93j8+seLvK9+DfvRvEpz3lj1RqGTAgkh3MvZUTgGaa0jtNY+WutIrfV0\nrXU9rXWUZXi6aK31w5Z1j2ute1u+PqS1bmH500Rr/aY7vhkhRNnlrhaOkjAZTHzc+2OOnj/KW6ve\nKvXjp2WkMXrBaNpPb+8wgbcm0FKBzt9T7Z+idURrRv852tbXrLVm0cFFVAyoSP0K9fNs0zi8MYOb\nD2blvytpXa01swfMZnLPycQlxzFxzUSnjr8xfiOXsy5zf/T9dssNysAzHZ6hXoV6Rd6XQRl4pfMr\n7EnaU+DDkUII95OZCIUQXsHawuFv8vdwJPY61+zM4GaDmbh2IgfOHCi14x46e4g2X7bhk42fsD5u\nPR9v+DjPOqdSpYWjMCaDiWn9pnH64mkG/DCAQ2cP8dqK1/hx14880PKBfHvkv+j7BXtH7+XPwX8y\nsOlAxrQbw5DmQ/how0ccTzle5ONvT9gOQNPKTV3y/dzR6A6ahDfhtZWvSS+0EB4kCbQQwitczLiI\nv8kfg/K+X0vv3vwuJoOJV5a/UmrH/M/K//Dv+X9ZOHghvev35u3Vb3Pu0jm7dazTePsafUstrrIo\numo0U2+dSuzxWBp+3JD//P0fRrQcYZuAxZFAn0AaVGxgt2x8l/FkZmfy5t9Fv4m6PWE7NcrVoJx/\nuWLHn5NBGXij2xvsSdrDV/985ZJ9iqKJPR5L7HGZSFmYed//VEKIa1JaRlqp9j87IyIkgievf5I5\nO+a4ZYxgR1YcWUHPuj3pWa8nE7pN4Oyls7y75l27dU5dOOVwBA6R1wMtH2DPY3u4t9m9PHn9k0y9\ndarTH9bqhNVhZKuRTN08lcNnD9uWW+8EOLL91HaaVW5W7Lgd6d+wP51qdOLV5a+SejnVpfsW+Rv1\n2yg6z+jscFQXce2RBFoI4RXSMtO8qv85t+c6Pkd5//K8vPzlIq2feCGRLSe3sO3UNqdvtR85d4R/\nz/9Ll5pdAGhRtQWDmg5i8v8m2yVujiZREfmrHlqdb277hkm9JhX7TsfLnV/GZDDx+krzRDUT10yk\n2gfVWPXvqjzrZmRlsCdpj8sTaKUU7978LqcunOK9te/Zli8+uDjPhyzhGlnZWexK3EVaZhp9vuvD\n7sTdng5JeJgk0EIIr3Ax42KpDmHnrPL+5RnbcSy/7/ud1UdXF7juhcsXaP55c1p+0ZIWn7fgzh/u\nzHfd1MupnE07a7ds5ZGVAHSp1cW27J3u72BURh749QHbuNSnLpySEThKWbWQaoxuM5qZ22Yyd+dc\nXln+Ctk625ZQ57T39F4ysjNoVsW1CTSYZy8c0GgAH6z7gDNpZ8jMzmTU76N4fsnzUiF1gyPnjpCe\nlc5LN7yEr9GX27+/nYysDE+HJTxIEmghhFdIy/TeFg6rx9s+TrWQajy16Kk8k6v8uOtH9p3eB8Cn\nGz/lZOpJPr7lYx5v+zi/7P2F5YeXO9znqN9GEfNljN0UzSv/XUmFgAp2D55FlYvig54fsOLICj6P\n/RywVKADpQJd2sZ2GkuQTxB3/3g35fzKMa7jOJYeXsqao2vs1tt+yvwAoasr0Fbju4wn5XIKk9dP\nZs6OORw5dwRfoy8vLXup8I2FU3Yl7gKgd/3eTLt1GntP7+XTjZ96OCrhSZJACyG8QlqGd7dwAAT5\nBjGx+0Rij8faTfG97/Q+7pp7Fzd+cyN7kvYwce1EetbtyWNtH2PizROJCo1i3NJxeSbzAHOyfOjs\nIb7c/KXdss41O+dpMxjRcgQ96vbg+cXPc/T8Uc6knZEKtAdUCqzEM+2fAeCzPp/xcueXCQ8M5//+\n/j+79bad2obJYKJhpYZuiaNZlWYMaDSAD//3IW/8/QZNKzfl7ZveZtnhZSw9tNQtx7xW7U4yt2w0\nqtSI3vV706NuD15b+ZrT44KLq4ck0EIIr+DtLRxW9za7l/aR7Xlh6QskpycD8NU/X2FURlLSU2g9\ntTVJF5N4vav5lr6/yZ/Xu77OhvgNeWY0PJ5ynOMpxzEZTLzx9xtcuHyBY+ePcejsIVv/c05KKT7p\n/QmXMi/xzF/mBE56oD3jlS6vsPPRnQxoPIAg3yCe6/Aciw4u4re9v9nW2Z6wnesqXefWUVJe6fwK\nyenJ7D29l7Edx/JIm0eICo3ixWUveu0U9M44nnKcebvmeToMdiXuompwVcICwlBK8UGPD0hJT+G1\nFa95OjThIZJACyG8Qllo4QBzEjvllikkXkhk3JJxZGRl8M3Wb+jToA9z75pLemY6vev35vrI623b\nDGsxjCbhTXhx2Yt2fZMb4zcCMKHbBE5dOMXLy15mxpYZAA4TaDBPAz08erhtIg0ZhcMzDMpA4/DG\nttej246mVUQrhswfYmvl2Z7g+hE4cmtRtQV3N7mbBhUbMLDpQPxN/rzR7Q02xG9gxj8z3Hrs0jBp\n3STunHtnnvaYktibtNfp/uXdSbvtzneTyk14OOZhPo/9nJ0JO10Wmyg7JIEWQniFstDCYRVTLYan\n2j3FZ7Gf8dSipziZepIRLUfQs15PNj+0me/u+M5ufaPByISbJrDv9D67sXs3Ht+IURl5rO1j9G/Y\nn8n/m8z4FeOpFFiJ5lWa53v8Vzq/go/BB5AKtLcI8Angp7t/wsfgQ/85/Zm0bhJHzx91ewINMPP2\nmWwetRmTwQTA0OZD6VyzM88veZ7EC4luP747bT1lHjYyvxYoZyVdTKLpZ00Z/NPgfPe3YP8CW88z\nmGeu3J24m0aVGtmt91rX1wjxC+Hpv552SWyibJEEWgjhFcpKBdrqzZvepHF4Yz7Z+AlVg6vSu35v\nAJpXae5w0oxbG9xKx6iOvL7ydS5cvgCYE+imlZsS6BPI3Lvmsm7EOhYPXczq+1djNBjzPXbN8jV5\nsNWDgHmMauEdapavyQ93/cDxlOM8/dfTAHZ3ItzF1+hLkG+Q7bVSik97f0pyejLPL3ne7cd3p62n\ntlIhoAKrj67mzwN/lnh/m45vIjM7k7m75vL26rwT6aSkp3DH93dw19y7yMrOAiA+JZ6Uyyl2FWgw\n98KP7zKevw7+xYL9C0ocmyhbJIEWQniFstIDbeVv8mfm7TPxMfgwouUIW/UvP0op3un+DidSTzB5\n/WS01sQej6VNtTYA+Bh9aBfZju51uhfpobO3u7/N7AGzqRNWxyXfj3CNbrW7cXbsWRKeTeDImCPc\nWOtGj8TRpHITnmn/DF9v+brMzp53KvUUCRcSGNdxHLXL12bskrH8e+7fEu3zn5P/ANCvYT9eWvYS\niw8utnt/wf4FpGelsytxF99u/RbANuZz7go0wKNtHqVBxQY8sfAJ2zMR4togCbQQwit480yE+WkV\n0Yr9j+/n1S6vFmn9jjU6ctt1tzFh9QSWHV7GmbQztKnepljHDvULZWDTgcXaVriXQRkIDwqnZvma\nKKU8FseLN7xIpcBKPL/4+TLZYrDt1DbA3DI1uddk9p/eT/2P6jPmzzFOT05ktfnEZmqXr83sAbNt\niW/Ofc3bPY/KQZVpU60Nr654lbSMNFs7R+4KNJir/9P7Teffc//y4K8Plsl/Z1E8TiXQSqmvlFIJ\nSqkdOZZVUEotVkrtt/wdls+2vZRSe5VSB5RS40oauBDi6uLtMxHmp2b5mk6NsjCl1xQMysA9P94D\nYKtAC+FqoX6hvNr5VZYfWc7CAws9HY7TrAl0syrN6NewH/sf3899Le5jyoYpjFtScBpxIuUETT9t\nytpja+2W/3PyH1pGtCTQJ5CJN09kT9Iepm2eBpg/xC/Yv4Dbr7udiTdPJC45jscWPMaqo6sI8w/L\n93mDTjU6MeGmCczdNZcnFz7JxDUT+WHnDy74FxDezNkK9NdAr1zLxgFLtdb1gaWW13aUUkbgE+AW\noDEwSCmV96OcEOKalJWdxeWsy2WqhaO4ospF8Wa3Nzmddhp/k7/dZClCuNpDMQ9RN6wuzy95vthV\nW0/ZlrCNaiHVqBRYCTBfO1/2+5LH2jzG++veLzBJXXhgITsTdzLqt1G2ETeS05M5cOYAraq2AszP\nJXSu2ZnxK8aTkp7CooOLuJBxgQGNBtC1VlcejXmUr7d8zbzd82gc3rjAuwnPdniW2667jSkbpjB2\nyVju+fEe3l/7vgv/NYS3cSqB1lr/DZzJtbg/8I3l62+A2xxs2hY4oLU+pLW+DMyxbCeEEKRlpgGU\nuRaO4nqszWN0iOpApxqd8DH6eDoccRXzNfoy8eaJ7EjYwaR1kzwdjlO2ndrmcDSaD3p+QIeoDjzw\nywMcPHPQ4barjq7CZDCxM3EnU/43BYAtJ7cA0DKiJWB+LuG9m98j4UICnWZ04q3VbxHmH0bXWl0B\n+KTPJxwac4jxXcbzcueXC4zVoAz8dPdPHHvqGOfHnefuJnfz7OJn7SZcElcXV/RAV9Fan7B8fRJw\nNChpdeBYjtdxlmUOKaVGKaVilVKxiYllewgeIUTh0jIsCXQZbOEoDqPByNJhS/lt0G+FryxECd1+\n3e30a9iP8SvGc+jsIU+HU6A/9v3BI78/wqXMS+xK3EXzynkTaF+jL9/f+T0GZeDhPx522He86ugq\netfvTZ/6fXht5WvEJcfxzwnzA4StIlrZ1mtTvQ2z7phFts5mQ/wG7mh0h92H2lrla/Fa19foVS/3\nzfe8lFJEhkYS6hfKt7d9y811bub+X+7n5WUv20b0cCTpYhLP/vUs8cnxhR5DeA+XPkSozT/FJe6g\n11pP1VrHaK1jwsPDXRCZEMKbXcy4CHBNtHBY+Zv88Tf5ezoMcQ2wzmBpMph46PeHvHqGwu92fMfn\nmz5n0LxBXM66nO946JGhkbzd/W2WHFrCf7f91+69k6knOXDmADfUuIEpt0whW2fzwC8PsOnEJqoG\nV6VqcFW79e9tdi/bHt7G5lGbeb+Ha9ou/Ex+/DLwF0a0HMGbq97kllm35Dt5y5ebvuT9de/T4asO\n7Ena45LjC/dzRQJ9SikVAWD5O8HBOvFAVI7XkZZlQghxzbVwCFHaIkMjmXjzRJYcWsKEVRM8HU6+\njp0336z+ec/PAAVOKPRwzMO0j2xvm8zIatW/qwC4ocYN1Amrw6Sek1h8aDGzd8ymZdWWDvellKJl\nREuHY7gXV4BPANP6TeOT3p+w+NBiWytJbvN2z6N+hfpcyrxEp6862WayFN7NFQn0r8B9lq/vA35x\nsM5GoL5SqrZSyhcYaNlOCCGuuRYOITzhodYPMaT5EF5Z/gq/7LnyX3VWdhbbT233YGRXHEs+xp2N\n7ySmWgwBpoACx0Q3KAPT+k3jYsZF7p57t63Cu+roKgJ9Am2tGiNbjaR/w/5kZmfatW+UlkdiHqFv\ng76MXzHe9gHB6si5I2w6sYmRrUay5oE1aDT3zruXy1mXSz1O4Rxnh7GbDawDGiql4pRSI4C3gZuV\nUvuB7pbXKKWqKaUWAGitM4HRwCJgN/CD1lomjxdCAFKBFqI0KKWY2ncqbaq1Ycj8ISw+uJjM7EyG\nzB9C88+b2yYO8ZRsnU18cjz1wuqxaMgiVg5fWegQkY3DGzOt3zRWHV3Fs389i9aaVUdX0S6yna2X\nWSnFtH7T6FO/D3c0uqM0vhU7Simm9DK3koxZOMauZ/un3T8BMKDxAOpVqMe0W6ex6cQmXl1etLHl\nhec4OwrHIK11hNbaR2sdqbWerrU+rbW+SWtdX2vdXWt9xrLuca117xzbLtBaN9Ba19Vav+nqb0Rc\ne7Kyszh89rCnwxAucC32QAvhCQE+Afw88Gdql6/NLbNuoevXXZmzYw5Vg6vy9KKnSbqYRFZ2FrHH\nY0t9UpBTqafIyM4gqlwUFQIqFHmSoXub3cuT1z/JlA1TaPlFS7ae3MoNNW6wW6dSYCV+v/d3j1Sg\nAWqH1ebVLq8yf898+s/pz+mLpwFz+0Z01WjbjKK3N7qdka1GMnHNRP7+92+PxCqKRmYiFGXWjC0z\nqDOljq1XTpRd0sIhROmpFlKN1Q+spkfdHqw5toa3bnqLxUMXcz79PMN/Hk676e1o82Ub3lv7XqnG\ndSzZ3N4QFRpVyJp5vdvjXb7o+wVGgxGNLtKoGaVtbMexTO45mYUHFtL408YMmz+MtcfWMqDRALv1\nJvWcRO2w2oz4dYStuCC8jyTQosxasH8BAMPmD2N34m4PRyNKQlo4hChdoX6h/DboN3Y/tptxncbR\ntHJTxnYcyx/7/yA+OZ52ke14dcWr7Du9D601uxN3u330Dmt/cFQ55xNok8HEqNaj2DRqE+fGnqNd\nZDtXh1diSinGtBvD+gfX0zGqI3/s/wOTwcTdTe62Wy/IN4hpt07jwJkD0srhxSSBFmVSVnYWy48s\np3f93gT4BHDb97eRkp7i6bBEMUkLhxClz2gwcl2l62yvX+3yKrMHzGbP6D38dPdP+Jv8GfLTELp8\n3YXGnzbmqYVPuTWeklSgc3LlSBru0CqiFT/d8xOJzyWS9FwSDSo2yLPOjbVv5OHWDzNp/STWHF1T\n5H3/dfAvBv44kIj3Ixi9YLQrwxa5SAItyqTNJzZz7tI5hjQbwg93/sD+0/t55q9nPB2WKCZp4RDC\n83yNvgxsOpBQv1AiQiKY1HMSG49vZP+Z/dxS7xambJjCrG2zHG774foP+X3f73mWZ2ZnFrmX+tj5\nYwSYAqgQUKFE30dZYVCGApP9d25+h5rlanLvT/dyNu0sAIkXEvP990y8kMits29lxZEV1Cpfi082\nfsL83fPdEruQBFqUUUsPLwWgW+1udKnVhec6PMeXm7+0tXWIskVaOITwPve1uI/V96/mwOMH+GXg\nL3Su2ZmRv41k68mtdusdOnuIJxc9ya2zb2XUb6O4cPkCABlZGbSf3p47frijSO0fR5OPElUuCqWU\nW76fsibUL5Q5d87heMpxhv08jKHzh1LlvSqMXTLWtk7OZHrGlhlczrrM8vuWs3L4SlpFtGLkbyP/\nv737juuq+h84/josUXALjtBS09I0Fw7UzJ2Jmpak5s4dlqZ+NX9ZjsrUryNKFGeamgtHqLhHTlJw\nT8wJiAyVJUPG+f0B8QUFEgU+H+X9fDx48OHec889l7dH3p/7OfccAiMDM6pePCdJoIXRCnkYkulH\nV3uu76GmbU1KWyevHD+lxRRq2NZgoMdAQqND05X1vedLuVnlmLh/YpbLqQrD+WcIh9yBFsJ4KKVo\nUqEJVhZWmJuas67rOooXLM6H6z5MvSMK4H7RHYCh9Yay+ORiPljzAYlJicw9PhfvO95svryZOcfm\n/Ov5/ML9nnv4xsumwSsNmNpyKlt9t+J+0Z2Gdg3579H/suXKFnb8vYOys8ryzb5vSNJJLPBZQLNX\nm1HNphoWphas7LKSh/EP6bWpFwlJCYa+lJeOJNDCaP1n939o+mtTvt3/bbp32bEJsRzxO0LrSq1T\ntxUwK8CKLiu4H3OfXht7pbvbMefYHAKjAplycAqOvzumW7FKGIeY+BhMlSnmJuaGbooQIhOlrUvj\n7uSOX7gfPTf2TP1/dv3F9dQvV5/5HeazuNNi9t7Yy3DP4Uz6cxLvVX6PLm92Yfze8Xjf8c6yfr8I\nv2d6gPBlN7rxaFZ/tJqrn19lf9/91ClThx4betB+VXui46P5/tD3fLH9C64/uM7QekNTj6tmU435\njvPZd2Mfo3fm7hDHsNgwZh6dSVhsWK6ex5hIAi2MktaaPdf3UKRAEb47+B39/uiXusrU4duHiU2I\npVXFVumOqV2mNi7tXNh5bSc/HEyeavxe9D2Wn1nOp7U/ZUGHBRy4eYA35r7Bz3/9LHejjUhMQgwF\nzQvKR7dCGDmH8g64tHNh+9/bmXxgMjce3MD7jjdO1Z0A+LTOpwyqOwg3Hzei46P5qd1PLO60mNLW\npem4uiMXQy5mWG98YjyBkYFUKFIhLy/nhWCiTOheozt2ReywNLNkvdN6ChcoTJ9afbg18hYNXmmA\n6wlXShUq9cRCMf1q9+PLRl/y8/GfmXdiXq60T2vNoC2D+M/u//DBmg9Sn2l52ZkZugFCZMT3ni8B\nkQG4OboR9DCIiQcmEhEXwfim4+m7uS8lCpag2avNnjhucL3BHPY7zMQDEylZqCThseHEJMQwstFI\napauSfPXmjPcczgjdozgUsgl5neYb4CrE4+Ljo+W8c9CvCCG2g/lr4C/mHJwCifunACga/Wuqft/\nfv9ngh4G0aR8k9RZPnb22kmr31rx7rJ32dN7D7XK1EpX553IO2i03IF+CpVLVCZgVAAmKvkeqLuT\nO02WNmGo/VAKmBV4ovyMNjPwveeLs6czN8Nu8mOrHzE1Mc3WOfff2M93B79jTdc12FrZptu3/Mxy\n3C+60+mNTnhc8eCTjZ+w3mk9ZiYveYqptTbqr3r16mmR/8w7Pk8zCX313lWttdYuXi6aSWgmoe1m\n2+mzd89memxUXJR2XOWomYS2+M5Ct/6tdbr9SUlJeuyusZpJaNfjrun2Hbl9RAdFBT1Rp3+4v34Q\n8yAHrkxkpM+mPvrVOa8auhlCiKcU/Sha13Gro5mErrfg6f5O+4b66vKzy+syM8voOxF30u07dOuQ\nZhJ6x9UdudHcl15CYkKW+x8lPNKfbf1MMwnttM5JJyYlZqv+QR79mpvxAAAYe0lEQVSDNJPQzZc1\n1/GJ8anbr9+/rq2nWuvmy5rrhMSE1L/V43aPe6brMDTAWz9lfipDOIRR2ntjLxWKVqBy8coAfNHw\nC5Z9sIwOVTtwbMAxapaumemxVhZWePTwYMI7E0hMSmRs47Hp9iulmNpqKh2qduCL7V+w78Y+ALz8\nvWi6tClNljYhKCootfy1+9eoMb8G9RbWk6eZc0lMfIw8QCjEC6SgeUE2dttIxWIVca7v/FTHVClZ\nBc+enkTEReC03olHiY9S9z3PIiqCf72jbG5qjqujK9NbT2f9xfXZXqDlmP8xbK1sOXDzAON2/28W\nkLF7xpKkk1jeeTmmJqZ80fALhtQbwvQj09l4aeMzXcuLQuk8Xus+u+zt7bW3d9YPHoiXS5JOwua/\nNnR6oxO/fvDrc9WVVWIWERdB4yWNCYwK5FD/Q3Rd15Ww2DDC48KpWrIqu3vvppB5IRyWOHA7/Dbx\nifFULF6RP/v9mW/mKc0rHVd3JCAigJNDThq6KUKIbNBaZ/vZhTXn19BjQw+c6zszt/1cAGYcmcG4\nPeOI+CqCwgUK50ZTBf8br7zk1BKG2Q/jQewDqpaoysTmE1OHhDwuPDac4tOLM6n5JEIehjD3xFzc\nHN2oYVuDpr82ZXLzyXz77v8S8riEOJota8bFkIs4VnGkXOFyjGk8hnKFy+XVZT4zpZSP1tr+acq+\n5ANUxIvozN0z3I+5/8RDgs8iq7uaRQoUwaOHB/UX1cd+oT0xCTF4fuKJUoqOqztSemZpyliXITAy\nEM+enpibmNP+9/Z0Wt2JPX32YGlm+dztE8mi46PlDrQQL6BnefC3e43ueN/xZtaxWVS3qc7geoM5\n5n+MogWKSvKcy5RSzHOcx63wW7h5u1GucDnWnF9DQGQACzsuzDCJPh5wHI3Gwc6B5q8153rYdT7z\n/IwKRStQrnA5Rjukn+GjgFkB3J3cGbhlICcDT7Lp8ib239zP4f6HsbKwyqtLzXU5NoRDKfWGUup0\nmq8IpdTIx8o0V0qFpykji7yLJ+z4ewcALV5rkevnqlS8Eu5O7sQnxdP77d68X+V92r3ejr8G/sWE\ndyZQrVQ1XNq50O71drSq1IpVH67iiN8R+m3ux82wmwzyGESfTX24HHo519v6MouJj5FlvIXIR6a3\nnp46jK7BogZsvryZgXUHGrpZ+YKFqQW7eu0i5usY/Ef5802zb1hyagnO25wzXOXwqN9RFIqGdg1T\n5wOvX64+N8Nu8kPLHzJMissXLc/OXjvx/dyXzd02czboLH0293mqBXVeFLkyhEMpZQoEAA211rfS\nbG8OjNFad3jaumQIR/6y9NRShmwdQiO7RhzqfyjPzusX7kfZwmWf6qnh/x75L2P3jEWhsDC1wNzU\nnOj4aIbZD2N66+kv1TvsvFJnQR3KFymPRw8PQzdFCJFHIuMieefXd7j24Bpujm70fLunoZuUL2mt\nGb93PNOPTGd4/eH8/P7P6T5ZaLeyHQGRAZwbdi5124OYB+y+vpuu1btmOvQjrTnH5jBq1yjaVm7L\nfMf5VCpeKVeu5XkZwxCOVsC1tMmzEP9m3ol5OHs606ZSG9Y7rc/Tc2fnwZUxjccQ9SiKoIdBfP3O\n1xQwK8CUP6fgesKVvTf2suajNU9M0SSyJkM4hMh/ChcozNEBR4mJj6FkoZKGbk6+pZTix1Y/Ep8Y\nz2yv2Vy9fxWAUoVK4dreFS9/L7q91S3dMcULFufjtz5+6nOMbDQSC1MLvtr7FTXm1WBhx4X0ervX\nE+W01iz0WUjVklVpUTH3P4V+Hrk1C0d3YHUm+xorpc4qpbYrpd7KqIBSarBSylsp5R0SEpJLTRQ5\nIUknMenAJLz8vVK3xcTHEJsQm+265p2YRyO7Rmz7ZBtFLYvmZDNzlFKKyS0m49bBjfJFy2NrZcvc\n9nPZ3Xs34bHhNFjcABcvlww/ChMZkyEcQuRPhcwLSfJsBJRSzGw7k3FNxnEu+Byh0aGsvbAWhyUO\nhMeF41De4bnrd27gzCXnSzS0a0jvTb1x8XJJVyYoKohOazoxdNtQfjv723OdLy/keAKtlLIAOgEZ\n3UI8CVTQWr8N/AJszqgOrfVCrbW91trexsYmp5soctCOv3cw+c/JtFnRBi9/L9wvulN6Zmmsp1pT\nY14N3LzdnqqeO5F3uBBygQ/f/BBz0xdzOefWlVpzZugZ2lZuy8idI+mwugPBD4MN3aw8F/wwGKf1\nThwPOP7Ux8QkxMhCKkIIYUBKKaa1nkbAqAC8B3vz+4e/43vPFwAHu+dLoP9hV8SO7T230+XNLozc\nOZJxu8eRmJSIzx0fai+oze5ru3Fp58KSTkty5Hy5KTeGcLwPnNRaBz2+Q2sdkea1p1JqnlKqlNY6\nNBfaIfLAz3/9TBnrMliZW9FieQtiE2Jp+EpDWldqzb4b+xi2bRjng8/zU7ufshxfvPvabgDaVm6b\nV03PFTZWNnh098D1hCtjdo2hllstfuv8G20qtzF00/LMlitbcL/ozjbfbaztupaOb3TMsFxodCjN\nfm1GrTK1iIyLlARaCCGMiNNbTpiZmLH3xl6qlqyaY/VamlmyzmkdI7aPYMbRGRzzP4ZPoA82hWw4\nMehElus8GJPcGMLRg0yGbyilyqiUkelKqQYp57+XC20QuSghKQGAy6GX2XltJ871ndnXdx/Vbaoz\nsuFIDvY/yPctv+dQ/0OMcRiD6wlX3lv5XpaLkOy6vovSVqVfmI6TFaUUwxsM5/ig4xS3LE67Ve34\n7YzxfxyVU3wCfShsUZi3bN+i89rOzD+R8XLpE/ZNwPeeLx5XPIhLjJMhHEIIYWS6VOvC3PZzn2m6\nwqyYmZjh6uiKm6Mbx/yP8WapN/Ea6PVC5QA5OguHUsoKuA1U0lqHp2wbCqC1dlNKDQeGAQlADDBK\na300qzplFg7jEhgZSNW5VWlcvjGFzAux/ep2/L70w8Yq86E2v576FWdPZ6wtrPnl/V/oWr0rpiam\nJOkkTJQJSTqJsrPK0qZSG1Z+uDIPryb3RT2KovOazuy9sRfX9q58Vv8zQzcp1zVY1ABrC2u29NhC\n9w3d2eq7lbGNx/Jj6x9Tn9Y+FXiKegvr8UXDLxjXZBxLTi2h21vdqFKyioFbL4QQIi/5hftha2VL\nAbMChm6K4Wbh0Fo/BEo+ts0tzeu5wNycPKfIWzuv7STqURRH/Y4S9SiKfrX7ZZk8A/Sv059Gdo3o\nsaEH3Td0p8r+Krxe4nUO3z5MlZJVmPjuRIIfBr/wwzcyYm1hzdZPttLNvRvOns5ExEXwVdOv/vU4\nrTWn757m7dJv/+sSrcbkUeIjzgad5fMGn2NlYcWmbpv43PNzZhydwe2I2yz7YBmxCbE4ezpTqlAp\nJjWfRDHLYkxoNsHQTRdCCGEAL+ry7bk1C4d4Se2+vpvSVqW5OeIms9vOZmrLqU91XDWbavgM9mFd\n13WULFSSW+G3+Pitj7l2/xqd13QGoE2ll3OcsKWZJe5O7nxS8xPG7x3Plzu+5FZY1jM8brq8iboL\n6+L4uyP3Y+7nUUuf34XgC8QlxmFfLvkNvJmJGfMc5zGt1TTWnF+DwxIHKrpU5Jj/MWa1nUUxy2IG\nbrEQQgiRfbmykEpOMvQQDq11jo/9MebzZiU3hlpcDLlI+1XtKWNdBq+BXv9+wAssMSmR4Z7DcfNJ\n/lCmdpnazHlvDs1fa/5E2RbLW3A26CyRcZGUL1qezd0259rYsIn7J+IT6INLOxcql6j8XHUtPrmY\nQVsG8ffnfz9R1+pzq/nU41NavNaC71t+T92ydZ/rXEIIIUROys4QDrkDnYWv936N5Q+WVPmlCr03\n9c6zO4FJOok6C+rg+LsjodHGM0HJuaBzBD8MztE7xdVtqnN5+GV29d6VY3UaK1MTU+Z3mM8l50vM\najuLiLgIWixvwUCPgen+bV0IvsCBmwcY23gsf/b7k5j4GBotacS6C+tyvE2n757mu4Pfse3qNmrO\nr8m3+7/lz5t/EvIwhIi4CBKTErNVn/cdb4pZFstwlakeNXsQ8VUEnj09JXkWQgjxQpMEOhPng88z\n/ch0HOwcqFOmDusurKP+ovqcuXsm1899KvAUZ4LO4HnVkzoL6qRbpORxt8Nvs/3qdq7eu5o6O8az\n2HdjH6VmlKLD7x1Y5LOIR4mPniiz+3ryVHOtK7V+5vNkxNLMkiIFiuRoncbszVJvMsphFOeGnWNc\nk3EsO72Maq7VWH1uNUk6iXkn5lHAtAAD6g7AobwDPoN9qF2mNt3cu/HpH5+mvqlKu1hNXEIcE/ZN\nwPOq51O3Q2vNyB0jKVmoJOeGnaN1pdZ8d/A7mi9vju1MW4pOK0qFnyqw/8b+LOuJjItMnWHFJ9CH\nemXrZfrpyYs6x7cQQgiRlgzhyIDWmpa/teRs0Fl8h/tSslBJvPy9+HDthwRGBVK+SHneefUdprWa\nliuD3ycfmMzkPyezved2hm0bhl+EH7PazqJaqWq4nnDllcKvML3NdC6FXKLtyraExYYB8HqJ11nb\ndW227+5prWm4uCE3w25ibWHNjbAb1C5TmxVdVlDDtkZqufdWvod/hD8XPruQo9eb352+e5pBWwbh\nfcebisUqEvwwmI+qf8TyzstTyzxKfMTE/ROZeWwmhcwLYWFqQWh0KJ3f7MzstrMZtm0YO6/tBGCM\nwximtpqKuak5STqJn7x+wtrCmv61+6dLYNdfWM/H7h/j5ujGEPshANyPuY+XvxfX7l/jUeIjFp9a\njO89X6Y0n8L4d8anzqIBsPb8WkbvGk1AZAAAXzb6EtcTrnzZ6EumtZ6WF786IYQQIsdkZwiHJNAZ\nWHt+Ld03dE+XWADcjbrLyrMrORl4Eo8rHpiZmOHSzoVeb/fK0ZkS6i+qj7mJOUcHHOVBzAP6bu7L\nFt8tANgUsiE0OpQqJatwN+ouJQuWZL7jfG6H32bKwSkEPwxmmP0wrC2seb3E6/Sp1Sdd0pMRz6ue\nOP7uyKKOixhQZwB/XPmDIVuHEBYbxmiH0YxvOp4bYTdotLgRg+oOwuV9lyzrE9mXkJTAhosbWOCz\ngCN+R/Aa4EWdsnWeKHch+ALTj0ynoFlBrCysmO89n9iEWBQK1/aunAs+x3zv+dQrW4/FnRbzk9dP\nLD+TnIhXLVmVaa2m0fnNzhzxO0L7Ve2pVLwSPoN9Mv33G/UoisFbBrP6/Gravd6OFV1WUKpQKZad\nXsanf3xK/Vfq0+XNLlx/cJ1FJxcBsK7rOpzecsq9X5YQQgiRCySBfk4jto/gsN9hjg88nmlice3+\nNfr90Y/Dtw9TuXhlRjYaSb/a/bC2sH6uc9+NukvZWWX5vsX3fN3sayB5TPSqs6vQaLq91Y2jfkf5\nZOMnWJlbsb/v/tS74KHRoQzwGMBW362px7Ws2JJlHyx74k55THwMt8NvU6FoBZovb07ww2CuDL+C\nhakFACEPQxi9azQrzq7A0syS2IRYzE3MOdT/EA3tGj7XNYqsJSQlZLlqY1pXQq/w9b6v6V6jO12r\ndwVgw8UNDNs2jJDoEAAmvTuJumXrMm7POC6FXqLhKw05F3wOuyJ27O2zF7sidlmeQ2vNAp8FjNgx\nAhNlgrWFNaHRobSp1IbN3TenLoCy4eIGlp5eyoouKyhRsMRz/AaEEEKIvCcJdA6IehT1r8lwYlIi\nGy9tZI7XHI75H6OYZTEG1x3M5w0//9ek5HFBUUEUL1iclWdXMsBjAKeHnKZWmVqZlo+OjwbIdPU2\nrTVLTy1lxI4RJOkk+tTqQ9vKbTkRcIKDtw9yIuAE8UnxqeUXdljIoHqDnqjnL/+/WHRyEfbl7Pmo\n2kf/OuezMA4hD0P4Zv831C9XnwF1BwDJifmvp37l2wPfYmtly65euyhtXfqp6zwVeIoVZ1cQmxCL\nrZUtXzX9Ckszy9y6BCGEECJPSQJtAF7+XszxmoP7RXdMlAlO1Z0Y5TAqdT7crNwKu0U112rYWtlS\npEARHsQ+4PbI2zkyjd21+9eYemgqq86tIi4xDjMTM+zL2dOsQjOq2VTjVtgtYhNimdxicurdZ/Fy\ni09MfuMkD/QJIYQQ/yMJtAHdDLvJL3/9wqKTi4h8FMk7Fd5hQrMJtKnUJtOEuO/mvqw9v5YatjXw\nCfRhmP0w5jnOy9F2hTwM4cq9K9QpUwcrC6scrVsIIYQQ4kUnCbQRiIiLYOmppcw+Nhu/CD+alG/C\nlBZTaFmxZbpy54LOUcutFqMdRjOjzQwO3T5ETduaFC9Y3EAtF0IIIYTIfySBNiJxCXEsPbWUHw79\nQEBkAO+++i6jHUbTvkp7wmLD6LmxJ17+XlwfcV0evBJCCCGEMBBJoI1QbEIsi3wWMe3INO5E3sGm\nkA33Yu6RpJOY2WYmoxuPNnQThRBCCCHyLYMl0Eqpm0AkkAgkPN4IlTwI2AVoD0QD/bTWJ7Oq82VJ\noP8RnxiPxxUP1l1cR9USVen4Rkfql6ufIw8MCiGEEEKIZ5OdBPrpJpvNnhZa69BM9r0PVEn5agjM\nT/meb5ibmvNR9Y/4qPpHhm6KEEIIIYR4BlkvUZfzPgB+08m8gGJKqbJ53AYhhBBCCCGeWU4n0BrY\no5TyUUoNzmD/K4Bfmp/9U7alo5QarJTyVkp5h4SE5HAThRBCCCGEeHY5nUA31VrXJnmohrNSqtmz\nVKK1Xqi1ttda29vYyMp3QgghhBDCeORoAq21Dkj5HgxsAho8ViQAKJ/mZ7uUbUIIIYQQQrwQcuwh\nQqWUFWCitY5Med0WmPJYMQ9guFJqDckPD4ZrrQOzqtfHxydUKXUrp9qZDaWAzB6GFIYjcTFOEhfj\nJbExThIX4yRxMU55FZdXn7ZgTs7CURrYlDIdmxnwu9Z6h1JqKIDW2g3wJHkKu79Jnsau/79VqrU2\nyBgOpZT3005lIvKOxMU4SVyMl8TGOElcjJPExTgZY1xyLIHWWl8HamWw3S3Naw0459Q5hRBCCCGE\nyGt5PY2dEEIIIYQQLzRJoDO30NANEBmSuBgniYvxktgYJ4mLcZK4GCeji0uOLuUthBBCCCHEy07u\nQAshhBBCCJENkkALIYQQQgiRDfkygVZKlVdK7VdKXVRKXVBKjUjZXkIptVspdTXle/E0x4xXSv2t\nlLqilHrPcK1/eWURl0lKqQCl1OmUr/ZpjpG45AGllKVS6rhS6kxKbCanbJc+Y0BZxEX6jBFQSpkq\npU4ppbam/Cz9xQhkEBfpLwamlLqplDqX8vv3Ttlm1P0lX46BVkqVBcpqrU8qpQoDPkBnoB9wX2s9\nTSn1FVBcaz1OKVUdWE3yyorlgD1AVa11omGu4OWURVw+BqK01jMfKy9xySMqeYJ3K611lFLKHDgM\njAA+RPqMwWQRl3ZInzE4pdQowB4oorXuoJSagfQXg8sgLpOQ/mJQSqmbgL3WOjTNNqPuL/nyDrTW\nOlBrfTLldSRwCXgF+ABYnlJsOcnJGynb12it47TWN0heCObxZcrFc8oiLpmRuOQRnSwq5UfzlC+N\n9BmDyiIumZG45BGllB3gCCxOs1n6i4FlEpfMSFwMy6j7S75MoNNSSr0G1AH+AkqnWVr8LsmrK0Jy\nEueX5jB/sk7sxHN6LC4Anyulziqllqb5GEfikodSPvY8DQQDu7XW0meMQCZxAekzhvYTMBZISrNN\n+ovhZRQXkP5iaBrYo5TyUUoNTtlm1P0lXyfQSilrYAMwUmsdkXZfyqqJ+W98ixHIIC7zgUpAbSAQ\nmGXA5uVbWutErXVtwA5ooJSq8dh+6TMGkElcpM8YkFKqAxCstfbJrIz0l7yXRVykvxhe05T/x94H\nnJVSzdLuNMb+km8T6JTxghuAVVrrjSmbg1LG4f4zHjc4ZXsAUD7N4XYp20QOyyguWuuglCQhCVjE\n/z6qkbgYgNY6DNhP8jhb6TNGIm1cpM8YXBOgU8q4zjVAS6XUSqS/GFqGcZH+Ynha64CU78HAJpJj\nYNT9JV8m0CkP3iwBLmmtZ6fZ5QH0TXndF/gjzfbuSqkCSqmKQBXgeF61N7/ILC7/dKAUXYDzKa8l\nLnlEKWWjlCqW8rog0Aa4jPQZg8osLtJnDEtrPV5rbae1fg3oDuzTWvdC+otBZRYX6S+GpZSySpk4\nAKWUFdCW5BgYdX8xy+sTGokmQG/gXMrYQYD/A6YB65RSA4BbJM/+gNb6glJqHXARSACc5SncXJFZ\nXHoopWqT/PHNTWAISFzyWFlguVLKlOQ33uu01luVUseQPmNImcVlhfQZoyR/Y4zTDOkvBlUa2JR8\nDw0z4Het9Q6l1AmMuL/ky2nshBBCCCGEeFb5cgiHEEIIIYQQz0oSaCGEEEIIIbJBEmghhBBCCCGy\nQRJoIYQQQgghskESaCGEEEIIIbJBEmghhBBCCCGyQRJoIYQQQgghsuH/AVzdF1amVG3kAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b08a3f550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,8))\n",
    "plt.subplot(311)\n",
    "plt.plot(volChart['close'], color='b', label='close')\n",
    "plt.legend()\n",
    "plt.subplot(312)\n",
    "plt.plot(volChart['residual'], color='y')\n",
    "plt.plot(volChart['forecastVolatility'], color='r')\n",
    "plt.legend()\n",
    "plt.subplot(313)\n",
    "plt.plot(volChart['conditional_volatility'], color='g')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 模型预测的均值大于0持有多头\n",
    "maenValues = forecastsDf['forecastMean'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PtZ5P/QBICB8IqqfOY+hGV23q24epTX0pS5CJeYlhHuuS98rxaqItgazM8N+Z\n2NHKiAkdU1m9/Oo2qlt7PFIr25fCzAEsSAont2xsedV2h+bLTx+hsbOPTTkpVLf2UNncPUGjFGPR\n1NnHsapWv0z9GBAeHMCnrs1i53+u46G7s0mJCuZnrxWy+mfb+dbzxzlV0+7rIQohPEiCah86UNaE\nQ8NVWReC6qiQQAKMako1gDlfm3r5yKkfA7JTIzlS0TLux6U9/XZ2FNZx/cKEUQX0/i4zxkJzVz/N\nnaObCdtR4Cyl5+u27Z6wOjOKIxUtYyop+JttRewqbuBHty7g3mvSAdg/xsBcTIzdxQ1oDWtn+1/q\nx6WMBsX1CxJ4+lNX8dqX13Lb0hk8f6iS63+zkw//JZet+bXYHfKERAh/N/WjjElsb2kjgSYDS1Mi\nzm8zGBRxYeYplf7x3MFKFieHMydh6NrUQ1meFklXn53Ccc7kvHWqjq6+6ZH6ARcWK5aNsqze9sI6\nlqREEBsWNJHD8opVGdH02RwcLm8Z1f7bC2r53Y5iNuWksGlFKrPjwggPDpCgepLYWVRPeHAAS5Ij\nRt7Zj8xLtPLz9y8m91vX8Z83zKGsoZP7Hs/j3Q+8yV/fKfXoAm0hhHdJUO1DuaWNZKdGns+nHhBn\nDZoyQfXJc63kj1Cbeig56c5UjfHWq37leA1RlkBWTYPUD7hQq3o0ZfXq23s5WtnCdX5c9WOwFRlR\nKMWo6lWXN3bx1WeOsCDJyv23LgCcN7Qr0qPYf0aCal/TWrPzdD3XzIyZsouLIy2BfO7dM3nnP9fx\nx7uWk2gN5sevFLDxV2/TId1BhfBLElT7SEtXH/nVbRelfgxIsJqpmSKtyv91sMpZm3rx8LWph5IU\nbibBah5XUN3Tb2dHQS3XL5geqR8AqVEhGA1qVHnVb56qQ2v/7KI4lPDgAOYlWEesV93Tb+ez/zgI\nwJ/uyr7opnZVRhRlDZ3UTZGbWn9VVNtBbVsv106B1I+RmIwGblyUyObPXMUDH1xCXXuv5FoL4aem\nR6QxCe0ra0Jrzjd9GSzeaqZuCixU7LM5ePFIFRvmxxFpuXJt6ksp5WzbPp6g+u2iejqnUeoHQIDR\nQGpUyKiC6h0FdSRYzcxPtHphZN6xOjOaQ+XN9NqGz6v+75dOcvJcG7+5cymp0SEXvTawmFVmq33H\n7tD8fU8ZAGv9eJGiO7JdpVVL60dfwUcIMXlIUO0juaWNmAMMLEkJv+y1eKuZ9l4bnX7+CPCtMdSm\nHsrytEgXk20vAAAgAElEQVSqWrrdnrV/9Xg1UZZAVvtx/WV3ZMRYKBnhQ7nXZued0/WsnxfnV53q\nRrIqM4pem4OjFa1Dvv7MgXKeyavgi+tnsn7u5RVPFiRZCQk0Sl61jzR29HLPI/t5an8Fd69OIyki\n2NdD8qqUyGACjIqSMdaaF0JMDm4F1Uops1Jqv1LqqFLqpFLq/kGvfVEpVeja/gvXtkCl1KNKqeOu\nY949aP9s1/ZipdSDaip9wl/B3pJGctKihqwNPFUawDx3sJKY0CC3S2LluGZt3Jmt7um3s72gjusX\nxE+b1I8BGTEWzjR24rhCNYH9ZU109tmnTD71gJWuXPyh6lWfqGrley+d5JqZMXxlw+whjzcZDWSn\nRUpQ7QOHy5u55Xe72H+miZ+/bxE/um2hr4fkdSajgfRoi8xUC+Gn3I02eoH1WuslwFLgBqXUaqXU\nOuBWYInWegHwgGv/+wC01ouAjcAvlVID1/6T6/VZrq8b3ByT32ju7KOwpn3YGdR4VwMYfy6r19jR\ny47COt63fHS1qYcyP8mKOcDgVlC9s6iejl4b/7Fw+qR+DMiIsdDT77jiz8/2gjrMAQau9sNOdVcS\naQlkbkIY+y4Jilu6+vjMkweJsQTy2zuXXnHx26qMKApr2qVBh5dorXli7xnueGgvBoPiX59Zw50r\nU309LJ/JjB35SZMQYnJyK9rRTgO/9QGuLw18Fvi51rrXtV+da5/5wI5B21qAHKVUImDVWudqZxuz\nx4Hb3H0z/mKgOsFQixQB4l0NYPw5r9qd2tSXCjAaWJwcwcGzY581fPV4NREhAcN+j6eyzIGyesPk\nVWut2V5Yy9VZMZdVnpkKVmdGk3e2iT6bs8a5w6H52uaj1Lb18Ie7lhMdeuXygSsznD8zB854pvmQ\nGF5Xn42vbT56/gnCli9ew6Lky1PippOs2FDONnbRLy3NhfA7bj8XV0oZlVJHgDpgq9Z6HzAbWKuU\n2qeUelsptcK1+1HgvUopk1IqA8gGUoAZQOWg01a6tg11vU8ppfKUUnn19fXuDntS2FvSSHCAkUUz\nhq6/Gm/1/5lqd2pTDyUnLZKT59ro7ht9Q4+efjvbCuq4fn4CAdMs9QMulNUrHSaoLq7roKKpm/VT\npOrHpVZlRNHT7+B4lbNe9R/fKmZHYR3fv3k+y1IjRzx+cXI4gSYD+0dRmk+4r7S+g9v/sIcXj1Tx\ntY2z+ds9K4gIGduC5qkoKzYUm0NT0dTl66EIIcbI7YhDa23XWi8FkoGVSqmFgAmIAlYD3wA2u3Kk\nH8EZMOcBvwH2AKOPkpzXe1hrnaO1zomN9e8V4bmlTeSkRxJoGvrbHxpkIjTI5Lc51e7Wph5Kdlok\nNofmWOXoGnoAvHO6gY5eGzcunn6pH+BMHwoOMA5bq3p7ofMB0voplk89YKCCR25pE++crueXW4u4\nbWkSH1mdNqrjzQFGlqZESF71BHr9RA23/n43de09PHbvSr503SwMU7Qe9Vhlum6KZbGiEP5n3NN4\nWusW4E2cudCVwPOu9JD9gAOI0VrbtNZf1Vov1VrfCkQARUAVzqB8QLJr25TV2NHLqdr2EdMS/LkB\njLu1qYey3DWzeLB89I/iB1I/1kzD1A9wNjFJj7FQ1jB0XuaOgjoWJFlJDJ+alRWiQ4OYFRfKayeq\n+dJTh5kdF8ZP37doTFVOVmVEceJcmzTh8DCb3cHPXivgM08eJDPWwstfvIZrZ/v3JImnZcaGAkhe\ntRB+yN3qH7FKqQjXv4NxLj4sBF4E1rm2zwYCgQalVIhSyuLavhGwaa3ztdbVQJtrkaMCPgq8NN43\nNZnluhpTDFWfejB/bQBT29bD5rwKNi6IH3Nt6qFEWgLJirVwcJT5rb02O9vya3nP/PhpmfoxIDPW\nMmROdUtXH3lnm6Zc1Y9Lrc6M5kRVG/12zZ8+spyQQNOYjl+ZEYXdoTk0zo6e4oK69h7u+us+Hnq7\nlI+sTmXzZ64iOTJk5AOnmfDgAGLDgqQCiBB+yN2oIxF4Uyl1DDiAM6d6C840j0yl1AngaeAe1wLE\nOOCQUqoA+CZw96BzfQ74K1AMlACvuTkmv5Bb2ogl0MiiGVdejJNgNVPrhwsVf7Qlnz67g2+8Z47H\nzpmdFsnB8macP0pX9k5RA+29Nm6cRg1fhpIZY6Giufv8Yr0Bb52qx6Fh/bzLazRPJe+aHYtS8MAH\nF5+f+RuL5amRGA1KUkA8JO9MEzc/uIujlS386o4l/Pi2RUOWExVOmTEWSf8Qwg+NbfrGRWt9DFg2\nxPY+4CNDbD8DDBllaa3zgGlTkHRvaSMrMqJGnEWNs5qpa+/B4dB+k2v4zul6thyr5isbZpHuqkDh\nCdlpkWzOq6S0oZOsEQKkV49XEx4cMOVKxY1VRowFu0NT3tTFzLgL37PthXXEhAaxeISbOn933bw4\n9n97A7FhV670MRxLkImFSVYJqj2graefjz16gJjQQB77+ErmTaEOnhMlKy6UV49X+3oYQogxmr7P\nx32gvr2X4rqOEVM/ABKsQfTbNc1+Uiu3p9/O9186SXp0CJ95V5ZHzz3QunekFJBem52tkvoBOINq\nuLisXr/dwdun6lg/N9ZvbtTcpZRyO6AesDIjiiOVLfT0j2lNtbjEC4eq6Oi18ds7l0lAPUqZMRZa\nuvpp6vSPv/9CCKfpHXl4Wa6ry9tVowiq/a2s3sM7Sylr6OSHty70eO3jzJhQIkICRmwCs+u0K/Vj\nmlb9GOxCUH0hL/Pg2WbaemxDtucWl1uZEU2fzcGxyqFbnouRaa15IvcsS5LDWZIydAlRcbmsOFms\nKIQ/kqDai/aWNhIWZGJB0sizNf7UAOZsYye/f7OYmxYnTshKfoNBsTw1csQKIK8cr8ZqNnF11vRO\n/QCICAkkyhJ40Uz19oJaAo0Grpkl35/RWJHufEIi9ardl1vaRHFdx6jLGQqnma40N1msKIR/kaDa\ni3Jd+dSjadvtLzPVWmu+/9JJAgyK7900f8Kuk50WSXFdx7Cto8+nfixIGLb+93STEWOhdNBip+2F\ndazKjCI0yK2lFNNORMjQLc/F6D2Re4bw4ABuWTL+8prTSVJEMIEmgyxWFMLPSPThJbVtPZTWd44q\n9QMgzpUPOtlrVb9+ooa3i+r52nvmkOCaXZ8IA3nVh4aZrd5d3EB7j42bpnnVj8EyYi6U1Str6KS0\nvpMNU7zqh6etzIji4NlmbNIyesxq23p442Qtd+QkezwlbKozGpSzAkidzFQL4U8kqPaSgXzq0SxS\nBAgwGogJDZzUQXVHr437X85nXqKVe66a2Me7S5IjMBrUsHnVrxyrcaZ+TPOqH4Nlxlqoa++lo9fG\njineRXGirMyIoqvPzslzbb4eit95an85dofmrlWS+uGOrNhQSoeoNS+EmLwkqPaS3NJGrGYT80eR\nTz0gfpI3gHlw+2lq2nr48W0LR5XSMh7BgUYWJFnJG6ICSJ/Nwdb8GjbOl9SPwTJdixXPNHSyo7CW\n2fGhpERJs42xWJnubHkupfXGpt/u4Kn95Vw7O9aj5TWnk8xYC+VNXfTapPqMEP5CIhAv2VvSyMqM\naIxjKGU2mRvAFNa08bddZdy5IuV8asZEy06L5GhlC/2XPIrfXdxAW4+NmxYneGUc/iIjxrnY6Whl\nC/tKm6TqhxvirGYyYiySVz1G2/JrqW3r5aOyQNFtWbGhzlrzjV2+HooQYpQkqPaC6tZuzjR2sToz\nakzHxVnNkzL9w+HQfPeFE1jNJr55w1yvXTc7LZKefgcF1Rc/in/1eDVhZhPXzPR85RF/lhYdglLw\n2J4z2ByaDfMk9cMdK9OjOHCmCYdj5I6ewumJ3LPMiAhmnaQbuW2g0ZUsVhTCf0hQ7QXn61NnjS6f\nekCC1UxjZ99lraZ97blDleSdbeZb/zGPSEug1657vgnMoLzqfruDf+fXsnF+vKR+XMIcYCQpPJii\n2g4iQgJYluqdJwpTzcqMKFq7+ymqa/f1UPxCcV07e0oa+fCq1DE9mRMXy4h1ps1IrWoh/IdEIV6w\nt6SR8OAA5iWMrZtYvNVZAaSuffLMVjd39vGzVwvISYvkA9nJXr12YngwSeFm8gYF1buLG2jt7peq\nH8PIdH0wr5sTJwGOm1ZmSF71WDyZW06AUbFpRYqvh+LXQoNMJFjNElQL4UckqPaC3NImVmVEjbk1\n9EADmMmUV/2LNwpp67Hxo9sW+qTVdXZ6FIcGBdWvHq8mLMgkDU2GMdBZUap+uC850nkzJ3nVI+vs\ntfGvg5XcuCiRmNDxtYkXkBV3ca15IcTkJkH1BKtq6aa8qWvMqR8A8WEDQfXkmKk+VN7MU/sr+PjV\n6cxLHNusu6dkp0ZQ3drDuZbui1I/gkxSB3co2WmRRIYETEiny+lCKcXKjCj2lzWhteRVX8lLR87R\n3mvjoxNcYnO6yIwJpaS+Q37uhPATElRPsNwS9/KpgfPNVCZDUG2zO/jOCydIsJr58obZPhtHdprz\nUXze2Wb2lDTS0tXPf0jqx7BuXTqDvO9uJDw4wNdD8WsrM6Kpb+/ljFRiGJbWmsf3nmFeopXlkr/v\nEVmxFtp7bNR3TJ6nlUKI4UlQPcH2ljYSGRLA7LiwMR8bGRJAoNEwKVqVP773LAXVbfz3LfN92uZ6\nXmIYwQFGDp1t5tVj1YQGmVgrqR9XJLnU47cywxkk7i9rHNd56tp7sE/RKiKHypsprGnn7tVpKCU/\nc56Q6aoAIikgQvgHCaon2N6SRlZnRruVf6yUIs4aRK2PG8DUtvXwq61FvGt2LDcs9G0taJPRwNKU\nCHJLG3kjv4YN8+KkBbKYcFmxoURZAseVV32ssoWrf76Dp/aXe3Bkk8fje88SFmTi1qVJvh7KlJEV\nN1BWTxYrCuEPJKgepa4+G63d/WM6pqKpi6qW7lG3Jh9K/CRoAPOjLfn02R388NYFk2IGKjstksKa\ndlq6+rlRUj+EFyilWJke5XYFkJ5+O1995gj9ds2RihYPj258HA497pzdho5eXj1ezfuzk7H48EnW\nVJNoNRMcYJSZaiH8hPz1G6VtBXV86anDJIWbmZ0Qxpz4MGbHhzEnIYyZcaFDzpbudbM+9WAJVvNl\nzU68Kbe0kS3HqvnqhtmkRU+OdsMD9apDg0yyAE94zcqMKF4/WUNVSzczIoLHdOwDb5yipL6TBKuZ\nwhrf/T5f6mxjJ598LI8ws4lHPraCiBD36s4/c6CCfrvmI9JB0aMMBkVGjEVmqoXwE24F1UopM7AT\nCHKd4zmt9X+7Xvsi8HnADryitf5PpVQA8FdguWv/x7XWP3Pt/xaQCHS7Tv8erXWd2+9ogsxPtPLN\nG+ZSVNvOqRpnc4OBpiwGBWnRFmbHhzqDbVfQvbu4gWhLILNcj/DcEW8189Yp33w7tNb8amsRcWFB\nfPpdmT4Zw1CWp0aiFFwnqR/CiwbqVR8oa2LGshmjPi63tJG/7S7j7tVpBAca+fueM9jsDkxG3z4o\nPHi2mfsez8Pu0Jxt6mLTQ7k88cmVxLmqDo2W3aH5575y1mRFM3Mcf+vE0LLiQjlS0TzyjkIIn3N3\nproXWK+17nAFzLuUUq8BwcCtwBKtda9SaqA47geBIK31IqVUCJCvlHpKa33G9fpdWuu8cbyPCTcz\nLvSiDwyb3cHZpi5O1TiD7KLadk7VtrM1v5bB65BuWpQ4rpSJeGsQnX122nv6CTN7t4LDnpJG9pc1\n8YNb5k+q4DU8JIA/3bWchTPCfT0UMY3MS7QSFmRiX1kTt40yqO7otfH1Z4+SGhXCt26cy+snauiz\nOTjT2MlMNxYve8orx6r56uYjJIWbeeRjK6hu7eGTj+Wx6aFcnvzkqjHNxL9ZWEdVSzffvWneBI54\n+sqKtbDl2Dl6+u2T6u+wEOJybgXV2pmAN/A8KsD1pYHPAj/XWve69huYYtWARSllwhl49wGT5xmo\nG0xGA1mxoWTFhl6U19vTb6ekvoOi2nZK6jq5afH4cn4TBjWA8WZQrbXm11uLSLCauXNlqteuO1o3\nLJRcauFdRoMiJz2SA2dGn1f9k1fyqWrp5tlPX0VIoIk5Cc5AurCm3SdBtdaaP79dyv+8XkhOWiQP\nfzSHKEsgmbGhPPnJlXzs0QPc8ee9PPnJVecbB43kidyzxFuD2DA/foJHPz1lxoaiNZxp7GTuGLvy\nCiG8y+3nj0opo1LqCFAHbNVa7wNmA2uVUvuUUm8rpVa4dn8O6ASqgXLgAa314E+mx5RSR5RS31PD\nTOsqpT6llMpTSuXV19e7O+wJZw4wsiApnNuXJfP16+eMu0lKnI8awOwqbiDvbDOfX5clsyNCuKzM\niKa4roOGUdQNfrOwjqf2V/CpazPJSXemjsyMC8VoUBRWt0/0UC/Tb3fwreeP8z+vF3LLkiSe/OQq\noiwXcqiz06J46r7VdPfb+eCf944q9/tMQydvF9XzoZWpBPg4nWWqyop13tyU1MliRSEmO7f/Cmqt\n7VrrpUAysFIptRDnzHcUsBr4BrDZFSSvxJljnQRkAP9PKTWQpHuX1noBsNb1dfcw13tYa52jtc6J\njZ0+i9N80QBmYJY6KdzMHStSvHZdISa7gbzqvBFmq1u6+vjmv44xJz6Mr2280CwpyGQkK9bi9cWK\nbT39fPzvB3j6QAVfWDeT325aOuTN8sIZ4Wz+9FWYDIpND+WOWKnkH/vOYjIoPjQJn2ZNFZkxA7Wq\nZbGiEJPduKcWtNYtwJvADUAl8Lx22g84gBjgw8DrWut+V0rIbiDHdXyV67/twD9xBuDCJd4aBODV\nBjBvF9VzqLyFz62bKe2/hRhk0YxwzAGGEetVf++lkzR19vHLO5Zc9js0N8FKgRdnqqtauvngn/ay\nt6SRX3xgMV+/fs4V6+bPjAvl2c9chTXYxF1/ySW3dOiGNz39djbnVXL9ggTirWNb3ChGLzjQyIyI\nYKkAIoQfcCuoVkrFKqUiXP8OBjYChcCLwDrX9tlAINCAM+VjvWu7BedMdqFSyqSUinFtDwBuBk6M\n5w1NNSGBJsLMJuq8VKtaa82vt51mRkQwd+TILLUQgwWaDCxPjbxiveotx87x8tFzfPm6WUMupp2T\nEEZVSzdtPWOre++O45Wt3PaH3Zxr7eaxj68c9e90SlQIz356DYkRwdzzyP4hKxC9fPQcrd39UkbP\nCzJjLZRIrWohJj13Z6oTgTeVUseAAzhzqrcAjwCZSqkTwNPAPa5FjX8AQpVSJ137P6q1PoazJN8b\nrvMcAaqAv4zrHU1B8VYzNV7qqvjWqXqOVrTwhfUzCTRJjqQQl1qZEUV+dduQQXFdWw/fffEES5LD\n+ey7s4Y8fl6ic4FiUc3Ezlb/+2QNdzy0lyCTgec/u4arZ8aM6fiEcDPPfGo1M+NCue/xPF49Xn3R\n60/mnmVmXCirM6M8OWwxhKzYUErrO8bdpEcIMbHcrf5xDFg2xPY+4CNDbO/AWVbv0u2dQLY7Y5hO\nEqxmr6R/OGepi0iODOYD2ckTfj0h/NHKjCi0hoNnmlk3N+78dq01//X8cbr77PzyjqXD1qEeqOBQ\nUNN+fgGjJ2mteWT3GX78Sj6LkyP460dziA0Lcutc0aFBPPWp1Xz80QN84Z+H+MUHlvCB7GSOVrRw\ntLKV+987ObqsTnVZsRY6++zUtvWeX2cjhJh8ZCrSD8RbzdR5IajeUVjHscpWvrh+pqzkF2IYy1Ii\nCTCqy/KqN+dVsKOwjv+8Ye4Vm6Akhpuxmk0UTkCnVK01P/i/k/xoSz7Xz0/g6ftWux1QD7CaA3j8\nEytZkxXD1589yuN7z/Bk7llCAo3cvnz0TXCE+7JinT9PklctxOQmkZMfiLcGUdfei8MxcY/+Bmap\nU6NCeN9ymaUWYjjBgUYWJ0ewv+zCAr6Kpi5++HI+qzOjuHdN+hWPV0oxN8HKqQlI/8gtbeKxvWf5\n2Jp0/njXcoIDPbPQOCTQxF/vyWHj/Hi+/9JJnj9cxe3LZmD1ckOq6SozViqACOEPJKj2AwnhZmwO\nTWNn34RdY2t+LSeq2mSWWohRWJkRxbHKVrr77Dgcmq8/exSlFP/7gSVXrKwxYG5iGIU17R7PkT1U\n7mxn/ZUNs0Y1jrEwBxj5413LuXVpEgq4+ypZoOgt8dYgLIFGWawoxCQn0ZMfmOgGMFprfrPtNOnR\nIdw+yvbLQkxnK9OjsDk0h8ubeXTPGfaVNfG9m+eREhUyquPnJljp6LVR2dzt0XEdLm8mM9ZCREjg\nyDu7IcBo4DeblrLv29dJdz8vUkqRFRcq6R9CTHISVPuBiW4A88bJWvKr2/ji+lnDLq4SQlyQnR6J\nUvDUgQp+8Xoh6+fGjakE5dzEC+3KPUVrzeHyFpanRnrsnENRShEdOr48bTF2mTEWSmWmWohJTSIo\nPzCRDWAcDs1vthWRGWPh1qVJHj+/EFOR1RzA/EQrLx89R3CgkZ+/b9GYqmDMjncG1ac82Fmxoqmb\nxs4+lqVGeOycYvLIig2lqqWbrj6br4cihBiGBNV+IDY0CKWgdgIawLx+sobCmna+dJ3MUgsxFgMt\ny39060LixthRMDTIRGpUCAUenKkeyKdeljKxM9XCN7JcFWXKGmS2WojJyq061cK7TEYDMaFB1Hq4\nAYzDofntttNkxVq4ZYnMUgsxFp99VxbZaZHcvNi93525CWEeLat3uLyZkEAjs+OHL+cn/FdmrAWA\nkvpOFiRd3qlTCOF7MjXpJyaiAcyrJ6o5VeucpTZ6uFKAEFNdnNXsdkANMDfRSllDJz39do+M53BF\nC4uTw+WJ0xSVHm1BKSipk8WKQkxW8tfXT8Rbgzy6UNHucFb8mBUXOq7AQAjhnrkJYTg0FHsgSOrp\nt5N/ro1lE7xIUfiOOcBISmQIpZL+IcSkJUG1n4i3mj0aVG85do7iug6+vEFmqYXwhbkJzsWKBR5I\nATlR1YrNoVmWIosUp7LMWIvMVE9zj+wq489vl3i8xr3wDMmp9hMJVjPNXf302uwEmcbXJc3u0Dy4\n/TRz4sO4cWGih0YohBiLtGgL5gCDR8rqHS5vAWCpVP6Y0rJiQ8ktbcTh0B5v7iMmvx2FtfxwSz4A\nHT02vn79HB+PSFxKZqr9RLyrukCdByqAvHz0HCX1nXx5ArquCSFGx2hQzI4Po9ADZfUOVzSTHBl8\nvlGUmJqyYkPp6XdQPUE9C8TkVdfWw9efPcbchDDuXJHC798s5nfbT/t6WOISElT7iXgPNYCx2R38\ndvtp5iaEccOCBE8MTQjhprkJYZzy0Ez1RDd9Eb53vgLIFEsB6eqz8ejuMo8t2p1qHA7NVzcfoavP\nxu8/vIyf3r6I9y2fwS+3FvHQ2yW+Hp4YRIJqP+GpBjAvHTlHWUMnX9kwW2aphfCxuQlWGjr6qG93\n/wlUdWs31a090vRlGsiKdZZLLJ1i7cr/fbKW+1/O50eu1AZxsYd2lrK7uJEf3LKAmXFhGAyKX7x/\nMTcvTuRnrxXy991lvh6icJGg2k8kWAdmqseX/vFMXgUz40K5fkG8J4YlhBiHC+3K3U8BOeLKp5bK\nH1NfTGggYWYTJVOsXXm+a7HuP/aV8/qJah+PZnI5UtHCL/99ipsWJbJpRcr57SajgV9vWsp75sfz\ng5fzeWp/uQ9HKQZIUO0nwoMDCDQZxpX+0d1n53B5M9fNjRtTS2UhxMSYm2AFoLDa/RSQwxUtBJoM\nzE+0empYYpJSSpEVG0rJFJupLqhuY058GEuSw/nmv45zrqXb10OaFNp7+vnSU4eJt5r56fsWXfa5\nHWA08LsPL+Pdc2L59gvH+dfBSp+Ms6vPxqHyZhwOqUjiVlCtlDIrpfYrpY4qpU4qpe4f9NoXlVKF\nru2/cG0LUEo9ppQ6rpQqUEp9a9D+2a7txUqpB5VEe0NSSjkbwIyjq2Le2Sb67ZqrsqI9ODIhhLui\nLIHEhQWNqwLI4fJmFiZZCTTJHMl0kBUbSukUm6kuqG5jUXI4D35oGTa7g688fQT7NA/QtNZ898UT\nVLV08+CHlhIeHDDkfkEmI3/+SDZrsqL5xnNHefnoOS+PFP78Vgnv++Me1v/yLR7dXUZ7T7/XxzBZ\nuPtXuBdYr7VeAiwFblBKrVZKrQNuBZZorRcAD7j2/yAQpLVeBGQDn1ZKpbte+xNwHzDL9XWDm2Oa\n8sbbAGZPSSMmg2JFepQHRyWEGI+5iVa30z/6bA6OVbZK6sc0khlroaath45em6+H4hF17T00dPQx\nP9FKWrSFH9++kP1nmvj9jmJfD82nnj9UxUtHzvGV62aRnXblz2xzgJG/fDSHnLQovvLMEd44WeOl\nUTrtKm4gNSqESEsg97+cz+qfbucH/3eSsmnYqMitoFo7DTx/CnB9aeCzwM+11r2u/eoGDgEsSikT\nEAz0AW1KqUTAqrXO1c5K5o8Dt7n9bqa48TaA2VPSyNKUCCxBUp5ciMliXkIYp2s7sNkdYz62sKaN\nXptDFilOI1NtsWL+OecN5TxX+tLty5J537IZ/HZ7EQfONPlyaD5TWt/B9146waqMKD63buaojgkJ\nNPHIvStYnBzOF/55iDcL60Y+yAO6+mwcq2zlxkWJvPC5q3nx81fzngUJ/GPfWdY98Bb3Prqft4vq\np01qiNvPC5VSRqXUEaAO2Kq13gfMBtYqpfYppd5WSq1w7f4c0AlUA+XAA1rrJmAGMDgJqNK1TQwh\nwWqmtq3XrU5KbT39HK9sYY2kfggxqcxJCKPP7nBrVuewLFKcdmbGOcvqTZUUkALXeoLBawJ+eNtC\nUqNC+PJTh2ntml6pBH02B196+jCBJgO/uXPpmDoehwaZ+Pu9K5mTEMannzzI7uKGCRyp06GzLdgc\nmtWZztn0pSkR/HrTUnb/13q+smEWx6vauOeR/Wz49ds8vvfMlHnCMhy3g2qttV1rvRRIBlYqpRbi\n7NAYBawGvgFsduVIrwTsQBKQAfw/pVTmWK6nlPqUUipPKZVXX1/v7rD9WrzVTHe/nbaesf9Q7i9t\nwmdALfkAACAASURBVKHhqqyYCRiZEMJd5xcrupFXfbi8mbiwIJLCpenLdJEaZcFoUFNmsWJBdRtJ\n4WbCQy7kDIcGmXjwQ8uoa+/lv54/Nq1acv/vG4WcqGrjf96/mMTw4DEfHx4cwBMfX0VmjIVPPHaA\n/WUTO9ufW9qI0aDIuSStNC7MzFc2zGb3f63j15uWEBpk4vsvneSqn27nR1vyOds4NW4KLzXulS1a\n6xbgTZy50JXA8670kP2AA4gBPgy8rrXud6WE7AZygCqcQfmAZNe2oa7zsNY6R2udExsbO95h+6WB\nBjB1bqSA7ClpJMhkkMfEQkwyWXEWTAblVl714YoWlqVGSDWfaSTQZCA1KmRKBdXzhqhcszg5gm9c\nP4fXTtTw1P4KH4zM+94uqucv75Rx9+o0rh9Hc7ZISyBPfGIVMyKCuffR/Rwqb/bgKC+2r6yRhUlW\nQodJKw0yGbl9WTIvff5qnv/cGtbNjeOxPWd49wNv8eD201Puhsnd6h+xSqkI17+DgY1AIfAisM61\nfTYQCDTgTPlY79puwTmTXai1rsaZW73aNaP9UeClcb2jKSw+zP0GMHtKGshJj8QcYPT0sIQQ4xBk\nMpIVGzrmsnqNHb2cbeySTorTUFasxWvpHxVNXbz397s4UtHi8XP39NspbehkftLQ5SDvW5vJ2lkx\n/HDLSU7Xjr/z6GRW397L/9t8hDnxYXznpnnjPl9sWBD/vG81MWFB3PPI/nE1mBpOT7+doxWtrMoc\nOa1UKcXy1Ege/NAydv/Xet67JIlfbS3iZ68VTqnA2t2Z6kTgTaXUMeAAzpzqLcAjQKZS6gTwNHCP\nawHiH4BQpdRJ1/6Paq2Puc71OeCvQDFQArzm9ruZ4hLC3WsA09jRS2FNO2sk9UOISWlOQtiY0z8G\nghzJp55+MmNDKW3onPCyc/12Z37vscpW/j0BFSWKatuxO/SQM9UABoPil3cswRJo4otPHXa7jXlr\nVz8PvHGKTz2eR69t8rVCdzg0/+/Zo7T32Pjdh5d5bPIr3mrmDx9eTnuPjR2FtR4552CHypvpszvO\n51OPZVy/vmMpH70qjYd3lvLtF05MmRKKbpWBcAXEy4bY3gd8ZIjtHTjL6g11rjxgoTvjmG7iz3dV\nHNtMdW6pM6dKFikKMTnNTQzj/46eo62nH6t56Hq0lzpc3oLRoFg0I3yCRycmm6xYC302B1XN3aRG\nh0zYdX677TSHy1sICzJNyEx1QfXFlT+GEhdm5oE7lnDvowf42asF3H/r6MOFjl4bf99dxsM7S8+v\nRdpZ1MDG+ZOro/DfdpWxs6ien9y+kNnxYR4994IkKwlWM2+dqmfTilSPnju3tAmD4rJ86tEwGBT3\nv3cBliATf3qrhK4+Gw98cAkBRv+ut+/fo59mzAFGwoMDxtwAZk9JA6FBJvnwFWKSmudarHhqDLPV\nhyuamZcYRnCgpHRNNwNl9UoaJi6vek9JA394q5g7cpK5dVkSxypbPT6bWFDdTkigkbSoK98YrJsT\nxyevyeCxvWfZmj/yjGtPv52/7Czl2l+8yQP/LmJlRjQvf+Eaoi2BvHhkyGVbPnO88v+zd+fxUdVX\n/8A/JwsEAiFAAiGQgICAgBBkFWVRXEARtK0oWqvWiiJaV6x1LS5Prfb32Me9tlqtdV8Qi+AOuCSA\nIDthD0sgEEhCErZs8/39ceaSIcwks9zZks/79corySx3bjKTzLnnnu85pXjqiw0Y3y8NVw2zN+gF\ntOxiTK9U/LD5AKr8aNtZnyXbitA3PcnrRIC7ffvD+D6YeWFvzFm5B7e89XNEnknwBYPqKOPPAJjs\nrUUYfko7xEX5ESBRY9Wnk2anNhR4t1ixxmGwalcpBmWw9KMp6m4F1YXBCaqLD1fizvdW4pSURPxp\nUj9kZbTFoYpq2xdHri8oQ++01ojxom3czPG90S89CTM/XOUxsVRRXYM3c7Zj9FML8MS8XPRLT8In\nM87CP68dgtO7tMHFAzrh6/X7Iqat29HKGtz2zs9IadUcT/7y5DHkdhnTOxXlFdXHW3Da4VhVDVbs\nOojhpwR+BnzGOT0xa1I/fLV+H373xjIcqYyM58cfjLKijK8DYPYcPIq8A4c5mpwogqUlJSApIc7r\nuuothYdwqKKa3XyaqHaJzdC2ZTy2BWFinTEG9364GiWHq/DslYPQslkcsjL0dbbSxqDMGIPcgrIT\n+lPXp3lcLJ6bOgiV1Q7c8d6KE7Lm1TUOvP/TLpz710V4aM46dGufiPemjcCbNww/vu8AMDkrHRXV\njqDUh/vjo5/zsb3oCJ7+1UAkt2wWtMc5q2cKYmMEizbZNxBm1a6DqKx2YIQXixS9ce3Ibnj6VwPw\n45YDuObVpSg9Gp39yRlUR5mOzgEw3srZWgQAXKRIFMFExDmu3Lug2mqRxUWKTVf31FZByVS/uXgH\nvs7dh/sm9EF/Z8lg95REtE6Iwwob66rzS46i/Fh1vfXUdXVPbYVZk/ph8bZivLRwCxwOgzkrd+P8\nZ77DvR+tRkqrZvj3b4fhvZtGuO1IcUZmW3Rp2wJzVu6x7efwlzEGr2dvx+md2+CsnsFNerVpEY8z\nMpOxcKN9Mz4WbyuGCDDMj3pqTy4fkoHnrzoDq/MP4qp/LEbRIfs7lgQbg+ook5aUgP2HKryubcve\nWoS2LePRJ83exQ9EZK/T0lpj495yr8b5rthZguSW8egWxEVqFNl6pCZiq81t9XILyvD4Z7k4t08H\nXH9Wt+OXx8QIsjKSbV2s6M0iRXd+NbgLJg1MxzNfb8YFf/sOt7+7Es3jYvDKNYPxyYyzMLpXqscy\nChHBpIHp+GHLARwIc8D245YibCk8hOtGdgtJn/mxvTtg3Z4yFJb73pLXnSV5ReiTlnTC0B47XHR6\nJ7zymyHYUngIV7yy2Ody13BjUB1lOrZJQI3DeHUEZ4xBztYDOLNHe69q1ogofPp0SsKhimrsPni0\nwduu2HkQgzI49KUp65HaCgcOVdh2mlzre1egTYt4PP2rASe9trIykrFxb5lt9a65BeUQgc8JHxHB\n45f1R9d2LeFwGDw3dRDm/X4ULuiX5tXfw+SszqhxGMxbU+Dvrtvi9ew8pLRqhokDO4Xk8cb00qF5\n320KfHR5ZbUDP+8s8bmVnrfO6d0Bb/x2GAoOHsXlL+dgV/GRoDxOMDCojjK+DIDZUXQEe0qPcTQ5\nURTo7QwuGioBKT1ahc2Fhzj0pYmzFitus2nx4KNz12Pr/kN4ZkoW2rdqftL1WRnJcBjtVmGH3IIy\ndGufiEQPk/jqk5QQjy/uHI1v7h6DSwam+5Q06p3WGn3SWoe1BGRH0WF8s6EQVw3LRPO40HTv6dsp\nCSmtmmPRpsBLQFbnH8SxKoctixQ9GdG9Pd66cQRKj1bhVy9nY0thdAz/YVAdZXwZAJN9vJ6aixSJ\nIl3vjt51AFmdz6EvpOUfAGwpAZm/pgDvLN2Jm0b3wNmnuk/CHF+saFMJSO7eMpzWyf+yxPjYGL/P\n1EzKSsfyHSVhy4D+O2cHYkVw9YiuIXvMmBjB6F4p+H7z/oBbIy7eprHFsFOCk6m2ZGUk472bRqDG\nAUz5+2Ks3W3PAV0wMaiOMtYAGG8y1dlbD6BjUnN0T0kM9m4RUYASm8eha/uWDWaqV+w8CBFgQAb7\nzjdlGe1aIj5WAs5U7z54FH/4aDUGZiTj7gt6ebxd+1bNkdmupS1B9aGKauwoOnK8P3uoXTIgHQDw\n6arQZ6sPV1Tj/Z924eIBnY6/n4fK2N4dcPBIFVblB/YcLskrRu+OrdEuMXgdSyx90pLwwc1nIiEu\nBje88ZPfUzVDhUF1lElp1RwxAhQ2EFRrPXURRvZIYd0lUZTok9YauXvrz1Sv2FmCUzu08nvgAjUO\n8bExyGzXMqDe0dU1Dtzx7go4DPDslVkNTrOza7HiBj8XKdolo11LDOnaFp+GoQTk45/zUV5RjetG\ndgv5Y4/qmYIYQUBdQKpqHFi+I3j11O6ckpKID6aPxN+usG+Ee7AwqI4ysTGC1NbNG5yquGnfIRQd\nrmR/aqIo0jstCdsPHPaYjTHGYMWugxz6QgB0sWIg5R/PfbsFP20vweOX9kfX9g2f0czKSEZB6bGA\nOzIc7/yRHp6gGtCe1Rv3lWNDAwexdnI4tI3ewIzksJRvtU1shoEZyQHVVa/ZXYojlTVuWxYGU+fk\nFlERzzCojkJpSQkNln9kb9UVvqynJooep6W1hsMAm/e5zz5uLzqCg0eqOPSFAAA9OrTCjqLDqPZj\n/PSSbUV47tvN+MUZnXHpoM5e3SfL+boLdDLf+oJytGkRj/Q2oS1/cHXxgHTExUhIFyx+v+UAtu4/\njOvDkKW2jOmVitX5B/3uAR2qeupoxaA6CnVISkBhAwsVs7cWIbNdS3Rpyz62RNGij/N0uKcSkBUc\n+kIuuqckoqrGYFdJw20YXR08Uok73luJzHYt8ejk/l7fr2+nJMTHSsAlILkFukgxnKWJ7RKbYdSp\nKfh05R6vesPb4fUf85DaujkuOj00bfTcGdu7A4wBftjiX2u9JduK0bNDK6S46RBDDKqjUkOZ6hqH\nweJtRUGf0kRE9sps1xIt4mOxocD9YsUVOw+iVfM49OzQKsR7RpGoRwff2+oZY3DfR2tw4FAFnpt6\nBlr50NIuIT4WfTslHT+480eNw2Dj3vKw1VO7mpzVGbsPHsXyAH4eb+UdOIwFG/fj6uGZaBYXvtDr\n9M5t0LZlvF911dU1DizbXhzSeupo43uDSAq7tDYJKD1ahWNVNW6L9tftKUX5sWr2pyaKMrExgl4d\nW2HjPg+Z6l0lGJjRBrEc5kQAeqRoUP3wnHV49pvNXt2notqBDXvL8cBFp+H0Lr53kMnKSMYHy/NR\n4zB+vQ63Fx3G0aqaiAiqz+/bEQnxMZizcjeG2jhu2503srcjPlZw1fDMoD5OQ2JjBKN7peK7Tfvh\ncBifenyv21OGw5U1Qe1PHe2YqY5CHZwDYDwtFrH6U58Z4oUERBS4PmlJyC0ohzEnnpI+UlmN3IJy\nDn2h49q0jMeNo07BqR1boW1iM68+0tokYPrYHrjh7FP8esyszGQcqazBpn3+DeOwFin2jYCgOrF5\nHM7vm4bPVhegyo+6dG+VH6vCh8vzMXFAOjq0Dl8duWVMr1QUHa7E2j2+9X226qmHM1PtETPVUch1\nAIy7FdvZW4vQq2MrpLZmzRNRtOnTqTXeW7YL+w9VnPAGvCa/FDUOw0WKdIIHLu4b0sfLcnaeWbnr\noF/Z5tyCMsTFSMSUME0emI7/rtqDHzYfwDl9OgTlMT5ano9DYWqj585o58jyRRv3Y0AX7/+fLMkr\nRveUxIg4MIhUzFRHofoGwFRWO/BTXjFGsvSDKCr1cQ7EqFtXvcK5OCyL7fQojLq1b4nklvFY6WcH\nkNyCcvRIbRUx/YZH90pFmxbxmLNyd1C273AYvJGzA2dkJmNgRmQcEKe0ao4BXdpgoQ+t9WocBj/l\nFYe8lV608SuoFpEEEVkqIqtEZJ2IzHK57jYR2eC8/CnnZVeLyEqXD4eIZDmvWygiG12uC86hYiNi\nBdXuBsCs3HUQR6tqoqKfIxGdrE+ajm7eWGey4oqdJejWvmVIppgReSIiGNjF/yEwVuePSNEsLgYX\nnd4JX67fhyOV1bZvf9Hm/cg7cBjXneVfuU2wjOmVihU7S1B6pMqr2+cWlKG8opqLFBvgb6a6AsC5\nxpiBALIAjBeRESJyDoDJAAYaY/oB+CsAGGPeMsZkGWOyAFwDIM8Ys9Jle1db1xtjCv3/cZqGpIQ4\nJMTHuB0Ak731AESAEVxIQBSV2iY2Q8ek5ie01TPG4OedB9lKjyJCVkYyNhWW41CFb0FoyeFKFJQe\ni4hFiq4mZ6XjSGUNvs61P/x4/cft6JjUHBP6p9m+7UCM7Z0KhwG+3+Jdtvp4PTVji3r5FVQbZfXw\niXd+GADTATxpjKlw3s7dK3QqgHf9eVxSIuKxrV721iL0T2+DNi05wpgoWvVJSzqh/GNP6THsL69g\nPTVFhKzMZBgDrM73LVudG+bx5J4M69YOaUkJ+NTmEpAthYewaNN+/Hp41wZHwIfawC7JSEqIwyIv\nW+st3laMru1bHl/TRe75/SyLSKyIrARQCOArY8wSAL0AjBKRJSKySESGurnrFQDeqXPZG87Sj4fE\nQzd4EZkmIstEZNn+/f6P2Gws3A2AOVpZgxU7SzhFkSjK9enUGlsKDx3vSHB86AvrqSkCZDkXt/la\nArI+QoPqmBjBpKx0LNy4HyWHK23b7r9ztqNZbAymhrmNnjtxsTEY1SsVizbtP6nTUF0Oh8FP24t5\nBtwLfgfVxpgaZzlHFwDDRKQ/tJtIOwAjAMwE8L5rkCwiwwEcMcasddnU1c5SkVHOj2s8PN4rxpgh\nxpghqamp/u52o+EuU71sRzGqagzrqYmiXJ+01qiscWD7gcMAdOhL87gY9ImgWlRqutomNkO39i19\nXqyYW1CO1NbNI7Iz1eSsdFQ7DOav3WvL9sqcbfQuGZgesdMHx/RKRWF5BXI9DJuybNhbjtKjVWyl\n54WAz0cYYw4CWABgPIB8AB87y0OWAnAAcG1DcSXqZKmNMbudn8sBvA1gWKD71BSktUnAvrJjJxxh\nZm8tQlyMBL2JPREFl9UBJNe5WHHFzhIM6NIm4k4hU9M1KLMtVu462GCW05UuUoysLLWlb6ck9OzQ\nyrYuIB8sy8eRyhpcf1Y3W7YXDGOdrfUWbqq/lry2PzUTdg3xt/tHqogkO79uAeB8ABsAfALgHOfl\nvQA0A3DA+X0MgClwqacWkTgRSXF+HQ9gIgDXLDZ50KF1c1RUO1B6tHblbvbWImRlJCPRh7GzRBR5\neqS2QlyMYENBGSqqa7B2TxkXKVJEycpIRmF5BQrcLJh3p7Lagc2F5RHV+cOViGDywHQs3V6MPQeP\nBrStGofBG9nbMbRbW/Tv7PvUylDpkJSA0zolNVhXvSSvCF3atkDn5BYh2rPo5W/aoxOABSKyGsBP\n0JrquQBeA9BdRNZCg+drTe1h7GgAu4wx21y20xzAF87trASwG8A//NynJsV1AAygp5rW5B9kPTVR\nI9AsLgY9O7TChr3lyC0oR2W1A2dwkSJFkKwM3+qqt+4/hKoaExGTFD2ZlJUOY4C5q/cEtJ2FGwux\ns/gIrhsZWW303BnbOxXLd5Sg/Jj71noOh8HSvGKMYJbaK/52/1htjBlkjBlgjOlvjHnUeXmlMebX\nzsvOMMZ863KfhcaYEXW2c9gYM9i5nX7GmNuNMTWB/UhNQ90BMEu3FcNhgDM59IWoUeid1hob95bX\nLlJkppoiyGmdktAsLsbroDqSxpN70rV9IrIykvHJisCC6tezt6NTmwRc0K+jTXsWPGN6paLaYfDj\nliK3128uPISSI1UYfgrLSr3BAr0olZZkZao1qM7eWoTmcTE4oyuzWUSNQZ+0JOw+eBQLN+5HepuE\n4wfSRJGgWVwM+qUneb1YMbegDM3iYnBKSmKQ9ywwk7PSsb6gDJv31b94z5PN+8rx/eYD+PWIyGuj\n587grm3RqnkcFnmoq7bqqZmp9k7kP+PklrV6el+pFVQfwNBu7dA8LjJGvxJRYKxOH99t3s8sNUWk\nrIxkrNldimpn68f65BaUo3fH1oiL8EDz4gGdECPAp6v8y1a/nr0dzeJiMHVY5LXRcyc+NgZn9WyP\nhRvdt9ZbkleEzskt0KUt66m9EdmvbvIoIT4WbVvGY2/ZMRQdqsCGveVspUfUiJzm7ABiDDj0hSJS\nVkYyjlbVYGMDWV1jDNZH2HhyTzq0TsBZPVMwZ+UenzqbAEDpkSp8/PNuXJqVjnaJzYK0h/Yb27sD\nCkqPYXPhoRMuN0brqYef0g4eRohQHQyqo1jHpATsK6vA4m3FAMBFikSNSMek5mjTQiejMqimSGQN\nI1rRQAlIYXkFig9XRmw7vbomDUzHzuIjXteL7y+vwKer9uCu91fiaFUNrh3ZLbg7aLMxVmu9jSeW\ngGzdfwgHDlWyP7UP2HstimlQfQzZWw+gVfM4nB7BrXuIyDcigj5prfHzzhL0S+ffNkWejHYt0C6x\nGVbuOohfj+jq8Xbro2CRoqsL+6fhgU/WYs7KPW5Lr0qPVGFxXhFythYhe+sBbNqnGd7WCXGYNrp7\n1P29pie3QK+OrbBo035MG93j+OU5zoTdcE5S9BqD6ijWMak5cgvKkLO1GsNPaRfxtWpE5JsrhmYg\nKyMZCfFcK0GRR0SQlZHcYEbX6vzRJ0qC6qSEeIzr0wFzVxfgwYtPQ2WNAz9tL0H21gPI3lKEtXtK\nYQyQEB+Dod3a4RdndMHIHu3RL70NYmOis0xiTK9UvJG9A4crqo/PuliyrQhpSQno2r5lmPcuejCo\njmJpSQkoLK9AYXkFrhoeHYsiiMh7vzijS7h3gaheWRnJWLCxEGXHqpCUEO/2NrkF5eic3OJ4OVM0\nmJzVGfPX7sXE53443mM7PlYwKLMtbh93Kkb2SEFWRjKaxTWOZNbY3h3wj+/zkLO1COf17QhjDJbk\nFWNkj/asp/YBg+oo1rFNbYutkexPTUREIZaVkQxjgNW7SnH2qe7fh9bvKY2aemrL2N6p6JPWGs3j\nYnDD2d0xskd7DOnWFi2bNc6wSX+2WCzcVIjz+nZE3oHD2F9ewdIPHzXOV0cT0bG1BtVtW8ajT1rk\nr6omIqLGZeDxyYolboPqY1U1yDtwGBcPSA/1rgUkIT4Wn98xOty7ETLN42Ixskdtaz2rAQIXKfqm\ncZy3aKKsUeVn9miPmCit4yIioujVpkU8uqcmeqyr3ri3HA4D9I2CdnpN3ZheqcgvOYptBw5jSV4R\nUls3R/cIH9YTaRhUR7GMti2REB+DcX0ifxQqERE1TtZiRXd9na1FitFW/tEUjenVAQCwcON+LNnG\n/tT+YFAdxdq0jMfiP47DL87oHO5dISKiJmpQRjIOHKpEfsnRk67LLShDYrNYZLRlB4lIl9m+Jbqn\nJOLtJTuwt+wYhnM0uc8YVEe55JbNeCRJRERhk+UcAuOuBCS3oBx9OiWxRDFKjOmdiq37DwMARpzC\nempfMagmIiIiv/XppF0y6gbVxhjkFpRFzdAXqp2u2D6xGXp2aBXmvYk+DKqJiIjIb/GxMTi9c5uT\ngur8kqMor6hmPXUUGdG9PRLiYzCiO/tT+4Mt9YiIiCggWRnJeHPxDlTVOBDvnO67/vgiRXb+iBYJ\n8bF44/phSE9uEe5diUrMVBMREVFAsjKTUVHtwIaC8uOX5RaUQQTozTkKUWV49/bIaMeFpf5gUE1E\nREQByXIZAmPJLSjDKe0TG+0UQqK6/AqqRSRBRJaKyCoRWScis1yuu01ENjgvf8p52dUistLlwyEi\nWc7rBovIGhHZIiLPCot4iIiIokrn5BZIadUcK1zqqtcXlOG0dNZTU9Ph7+FjBYBzjTGHRCQewA8i\nMh9ACwCTAQw0xlSISAcAMMa8BeAtABCR0wF8YoxZ6dzWSwBuBLAEwDwA4wHM9/cHIiIiotASkeND\nYACg/FgVdhUfxZVDM8O8Z0Sh41em2qhDzm/jnR8GwHQATxpjKpy3K3Rz96kA3gUAEekEIMkYs9jo\nKKZ/A7jUn30iIiKi8BmUmYxt+w+j9EgVNuzV2mouUqSmxO+aahGJFZGVAAoBfGWMWQKgF4BRIrJE\nRBaJyFA3d70CwDvOrzsDyHe5Lt95mbvHmyYiy0Rk2f79+/3dbSIiIgqC43XV+Qc5npyaJL+DamNM\njTEmC0AXAMNEpD+0nKQdgBEAZgJ437VGWkSGAzhijFnrx+O9YowZYowZkpqa6u9uExERURAM6NIG\nIsDKnRpUJ7eMR1pSQrh3iyhkAl6Sa4w5KCILoLXQ+QA+dpZyLBURB4AUAFZq+UrUZqkBYDc0KLd0\ncV5GREREUaR1Qjx6prbCyl0lKD5cib6dkjhAhJoUf7t/pIpIsvPrFgDOB7ABwCcAznFe3gtAMwAH\nnN/HAJgCZz01ABhjCgCUicgIZ0b7NwDm+P3TEBERUdhYixU37itn6Qc1Of5mqjsBeENEYqGB+fvG\nmLki0gzAayKyFkAlgGudWWsAGA1glzFmW51t3QLgdWjnkPlg5w8iIqKolJWZjA+W61IpBtXU1PgV\nVBtjVgMY5ObySgC/9nCfhdBa67qXLwPQ35/9ICIioshhLVYE2PmDmh5OVCQiIiJb9O7YGi3iYxEX\nI+jZoVW4d4copDg7lIiIiGwRFxuDQZnJKDtWheZxseHeHaKQYlBNREREtvnr5QNRXWMaviFRI8Og\nmoiIiGyTntwi3LtAFBasqSYiIiIiChCDaiIiIiKiADGoJiIiIiIKEINqIiIiIqIAMagmIiIiIgoQ\ng2oiIiIiogAxqCYiIiIiCpAYE30N2kVkP4AdYXjoFAAHwvC4FD58zpsWPt9NC5/vpoXPd9Nj13Pe\n1RiT2tCNojKoDhcRWWaMGRLu/aDQ4XPetPD5blr4fDctfL6bnlA/5yz/ICIiIiIKEINqIiIiIqIA\nMaj2zSvh3gEKOT7nTQuf76aFz3fTwue76Qnpc86aaiIiIiKiADFTTUREREQUIAbVXhKR8SKyUUS2\niMh94d4fspeIvCYihSKy1uWydiLylYhsdn5uG859JPuISIaILBCR9SKyTkRud17O57wREpEEEVkq\nIqucz/cs5+V8vhsxEYkVkRUiMtf5PZ/vRkxEtovIGhFZKSLLnJeF9DlnUO0FEYkF8AKACQD6Apgq\nIn3Du1dks9cBjK9z2X0AvjHGnArgG+f31DhUA7jbGNMXwAgAM5x/03zOG6cKAOcaYwYCyAIwXkRG\ngM93Y3c7gFyX7/l8N37nGGOyXNrohfQ5Z1DtnWEAthhjthljKgG8C2BymPeJbGSM+Q5AcZ2LJwN4\nw/n1GwAuDelOUdAYYwqMMT87vy6HvvF2Bp/zRsmoQ85v450fBny+Gy0R6QLgYgD/dLmYz3fTUklO\nEwAAIABJREFUE9LnnEG1dzoD2OXyfb7zMmrcOhpjCpxf7wXQMZw7Q8EhIt0ADAKwBHzOGy1nKcBK\nAIUAvjLG8Plu3P4G4F4ADpfL+Hw3bgbA1yKyXESmOS8L6XMeF8yNEzUWxhgjImyV08iISCsAHwG4\nwxhTJiLHr+Nz3rgYY2oAZIlIMoDZItK/zvV8vhsJEZkIoNAYs1xExrq7DZ/vRulsY8xuEekA4CsR\n2eB6ZSiec2aqvbMbQIbL912cl1Hjtk9EOgGA83NhmPeHbCQi8dCA+i1jzMfOi/mcN3LGmIMAFkDX\nUPD5bpzOAjBJRLZDyzXPFZH/gM93o2aM2e38XAhgNrR0N6TPOYNq7/wE4FQROUVEmgG4EsCnYd4n\nCr5PAVzr/PpaAHPCuC9kI9GU9KsAco0x/+tyFZ/zRkhEUp0ZaohICwDnA9gAPt+NkjHmj8aYLsaY\nbtD362+NMb8Gn+9GS0QSRaS19TWACwCsRYifcw5/8ZKIXASt0YoF8Jox5okw7xLZSETeATAWQAqA\nfQAeAfAJgPcBZALYAWCKMabuYkaKQiJyNoDvAaxBbc3l/dC6aj7njYyIDIAuUoqFJpPeN8Y8KiLt\nwee7UXOWf9xjjJnI57vxEpHu0Ow0oKXNbxtjngj1c86gmoiIiIgoQCz/ICIiIiIKEINqIiIiIqIA\nMagmIiIiIgoQg2oiIiIiogAxqCYiIiIiChCDaiIiIiKiADGoJiIiIiIKEINqIiIiIqIAMagmIiIi\nIgoQg2oiIiIiogAxqCYiIiIiChCDaiIiIiKiADGoJiIiIiIKEINqIiIiIqIAMagmIiIiIgoQg2oi\nIiIiogAxqCYiIiIiChCDaiIiIiKiADGoJiIiIiIKEINqIiIiIqIAMagmIiIiIgoQg2oiIiIiogAx\nqCYiIiIiClBcuHfAHykpKaZbt27h3g0iIiIiauSWL19+wBiT2tDtojKo7tatG5YtWxbu3SAiIiKi\nRk5EdnhzO5Z/EBEREREFiEE1EREREVGAGFQTEREREQWIQTURERERUYBsCapF5DURKRSRtR6uFxF5\nVkS2iMhqETnD5brxIrLRed19duwPEREREVEo2ZWpfh3A+HqunwDgVOfHNAAvAYCIxAJ4wXl9XwBT\nRaSvTftERERERBQStgTVxpjvABTXc5PJAP5t1GIAySLSCcAwAFuMMduMMZUA3nXeliLAhg3AM8+E\ney+IiIiIIl+oaqo7A9jl8n2+8zJPl1MEePNN4K67gOL6DpeIiIiIKHoWKorINBFZJiLL9u/fH+7d\naRKsYHrr1vDuBxEREVGkC1VQvRtAhsv3XZyXebr8JMaYV4wxQ4wxQ1JTG5wUSTYoKdHPW7aEdz+I\niIiIIl2ogupPAfzG2QVkBIBSY0wBgJ8AnCoip4hIMwBXOm9LEYBBNREREZF34uzYiIi8A2AsgBQR\nyQfwCIB4ADDGvAxgHoCLAGwBcATA9c7rqkXkVgBfAIgF8JoxZp0d+0SBY/kHERERkXdsCaqNMVMb\nuN4AmOHhunnQoJsiDDPVRERERN6JmoWKFHoMqomIiIi8w6Ca3HI4NKhOSAD27QPKy8O9R0RERESR\ni0E1uVVWBhgDDBqk32/bFt79ISIiIopkDKrJLWuR4rBh+pklIERERESeMagmt6x66qFD9TODaiIi\nIiLPGFSTW1ZQnZkJdOzIoJqIiIioPgyqyS2r/KNtW6BHDwbVRERERPVhUE1uWZnqtm2Bnj05AIaI\niIioPgyqyS0rqG7XToPqXbuAo0fDu09EREREkYpBNblVXAw0bw60aKFBNQDk5YV3n4iIiIgiFYNq\ncqukREs/AK2pBlhXTUTU1K1bB/z4oyZZjh0L994QRZa4cO8ARaaSEi39AGoz1ayrJiJqmpYvBx55\nBPjssxMvb9cO6NQJSE/XD3dfZ2QAsbHh2W+iUGJQTW4VF9dmqtu106+ZqSYialpWrgT+9Cdgzhx9\nH3j8cWDwYKCgANizp/ajoADYsEE/V1efuI1LLgE+/TQsu08UUgyqya2SEqBLl9rve/ZkUE1EFMl+\n/hn45S+BIUOAyy4DLroISE72b1tr12ow/dFHQJs2wKOPAr//vX5dH4cDKCqqDbb/9S9g9mygrAxI\nSvJvX6jx+dvfgA4dgKuuCvee2Is11eSWa/kHwF7VRESRzOEApk8HSkuBH34Arr5ag5YLLwReflkD\nXG/k5gJXXgkMGAB8+SXw8MPA9u3AQw81HFADQEwMkJoKDBwITJgAzJihmetvvgnox6NGpKpKD9I+\n/zzce2I/W4JqERkvIhtFZIuI3Ofm+pkistL5sVZEakSknfO67SKyxnndMjv2hwLnWv4BaKZ6xw79\nYyAiosjy+uvA0qXAs88Cu3cD2dnAHXcA27ZpsN25M3DmmcBTTwGbNp18/02bgF//GujXD5g7F/jj\nHzWYnjXL/2w3AIwcqRnq+fP93wY1Lt98o4m7yy8P957YL+CgWkRiAbwAYAKAvgCmikhf19sYY542\nxmQZY7IA/BHAImNMsctNznFePyTQ/aHAVVcD5eUnB9U1NRpYExFR5Dh4ELjvPuCsszRDHRNzYgC9\ndi3w2GOaFPnDH4DevTV4fvBB4KuvgOuuA047Tcs0Zs7UYPqJJ048W+mv+Hjg/POBefMAYwLfHkW/\nDz7QA60LLgj3ntjPjkz1MABbjDHbjDGVAN4FMLme208F8I4Nj0tBcvCgfnb9h2p1AGEJCBFRZHnk\nEa1jfv55QOTE60RqA+hlyzQx8uyzQMeOwJNPamDz3nu1We2//AVISbF3/yZM0Oz52rX2bpeiT1UV\n8MknwKRJOgujsbEjqO4MYJfL9/nOy04iIi0BjAfwkcvFBsDXIrJcRKZ5ehARmSYiy0Rk2f79+23Y\nbfKk2HkOoW6mGmBQTUQUSdasAV54AbjpJiArq+HbZ2YCt90GfPstsG+fZqe3bQP+3//TQDsYxo/X\nzywBoW+/1RijMZZ+AKFfqHgJgB/rlH6c7SwLmQBghoiMdndHY8wrxpghxpghqampodjXiHfBBcC9\n99q/XWtEuWtQ3aEDkJjIoJqIKFIYowFycrK2uvNV+/bApZdqP+lg6txZFy7Omxfcx6HI98EHQOvW\njbP0A7AnqN4NIMPl+y7Oy9y5EnVKP4wxu52fCwHMhpaTUAOM0YUoK1fav20rqHYt/xDRbDUHwBAR\nRYb33gMWLbKv/jmYJkzQSYxlZeHeEwqXqio9MzJpEpCQEO69CQ47guqfAJwqIqeISDNo4HxSm3cR\naQNgDIA5Lpclikhr62sAFwBg1ZUXDhwADh/Wz3ZzV/4BsFc1EVGkOHQIuOce4IwzgN/9Ltx707AJ\nE3QR/Ndfh3tPKFys0o8pU8K9J8ETcFBtjKkGcCuALwDkAnjfGLNORG4WkZtdbnoZgC+NMYddLusI\n4AcRWQVgKYDPjDGNsHOh/bZv18/BCKrdlX8AGlRv26ZdQIiIKHyeeEIX/z3/fHSMAD/zTO1zzbrq\nyFdTo20VKyrs3W5jL/0AbJqoaIyZB2BenctervP96wBer3PZNgAD7diHpiYvTz+HMqju0QOorATy\n84GuXe1/XCIiatimTbqw8NprNViNBlZrvfnztXyxbpcSigyVldqv/IMPdEDLQw/Zs92mUPoBcKJi\n1LKC6qNHgSNH7N12cbEuSmzW7MTLrQ4grKsmIgoPY7T9XUKCtsSLJlZrvTVrwr0n5M7Ro8AvfqEB\ndefO2lXGrmz1ggWNu+uHhUF1lLLKPwDA7g6DJSUnZ6kBttUj9cILwIgRnK5JFA5z52q2d9YsIC0t\n3HvjG7bWi1zl5cDFF2uHlpdfBl57TVsuvvuuPdu3Sj8uvNCe7UUqBtVRyspUA/aXgJSUuF9J3rmz\nNmtnUB3Z3nwTWLUqeNtfuBBYsgR4663gPQYRnezYMeD224G+fYFbbw333vguPV17abO1XmQpLtbS\nnO++0/ePm27S7/v1A555JvBJmFVVwMcfA5dc0rhLPwAG1VErL0//QQH2B9XFxe4z1TExQPfuDKoj\n2ZEjwG9/q/8Ig2XnTv38xBO6mp+IQuPpp/V//3PPaY1yNLJa65WWhntPCNBs9DnnACtWAB9+qGPu\nAa15v/NOTdAsWBDYYzSV0g+AQXVUcjh01OzQofp9qDLVANvqRbplyzTQ3bEjeI+xcyeQkaGvg/fe\nC97jEFGtHTuAP/9ZA5Nzzw333vhvwgTtLsHWeuG3axcwerT+L587VwcBubr6aiA1NfAkzQcfAK1a\n1Zb/NGYMqoNk505dlb1hg/3b3rtXFw9YQXWoaqqB2gEwgZ4OouDIydHPVjbZbhUV+vq74Qagf3/N\nVjscwXksIqp19936+a9/De9+BIqt9QJTUQHcfz9w9tl6xsLfjP+WLbqNvXuBL7/Uco+6EhKAW27R\ngHvTJv8ep6l0/bAwqA6SWbOAxYsDP23ijlVPPWiQ9icNVfkHoEH1kSP6h0iRJztbP+/aFZxgNz9f\nP3frBjz4IJCbC3z0kf2PQ0S1vv5a/84eeADIzAz33gQmLk77FFut9RobY/Q9Mhg/25o1wLBhesai\nsBD4/e+1DPTGG4Gff/Z+O2vXAqNG6QC5BQuAs87yfNvp07UT2N/+5t8+L1wIFBU1jdIPgEF1UGzZ\nArzxhn69ebP927c6f3TvDrRvb29QfeyYttWpr/wDYAlIJDJGM9XNmml2oKDA/sewykoyM4Ff/Qro\n3Rt4/HFmq4mCpapKg6fu3Wuz1dFuwgRgzx5g9epw70n9jNFA9umn9Xd/003aw/myyzSzO3IkMGCA\nznBIS9MSh9hYbUk7cKB9Bw4Oh/YlHzJEE1r//a9mjpctA6ZO1UXjgwcDw4cDr7+u7+GeLFsGjBmj\na6S++04nctanY0ctA3njjdppy76wSj8ae9cPC4PqIJg1SwMbq+7UblamumtXICXF3qDa0+AXS48e\n+plBdeTZtk1LgSZM0O+DUQJibTMzU988HnhA3xj/+1/7H4uI9BR/bi7wf//XeE6fR3Jrvepqzd7e\ncYe+3w0YANx7L/D3vwOffKKJi61bNcubmKgHO2eeCUyerEH3gw/q0JQjR4CLLgLGjdNA1l87dmgN\n/T336PbWrgUmTtTrBg8G/vlPPUD5v/8DysqA66/XTl133XVyycb33+u2kpL06759vduHO+/Un+eV\nV3zb9+rq2q4fLVr4dt+oZYyJuo/BgwebSLVunTEixtx7rzGXXWZMnz72P8Zvf2tMWpp+PXq0MWPG\n2LftdeuMAYx55x3311dVGRMXZ8wDD9j3mGSPN9/U5+7tt+t/DgMxa5Zu+9gx/b6qypgePYw54wxj\nHA77H4/s8+9/G7NmTbj3gnyRm2tM69bGXHRRuPfEfoMGGTNqVLj3QpWWGvP++8ZcfbUxbdvq/7jm\nzY25+GJj/v53Y/bs8X2bFRXGPPusMSkpur0rrzRm61bv7+9wGPPGG8YkJelr4F//avh/rMNhzIIF\nxkyZou/TgDHjxhnz4YfGzJ1rTIsWGpPk5/v+85x3njHp6fpzeevLL3UfPv7Y98eLNACWGS/iU2aq\nbfanP+nR68yZwKmnavawpsbex8jLA045Rb9OTbV3oaKVqfZU/hEXp/W0zFRHnuxsba4f7Ex1Wpr2\nKwf09XD//VrPF4lZJ1I//gj85jd6eviDD8K9N1Sf8nLgX//SU/SnnabvH/7Ws0ayCRP0f9bBg+F5\n/Px84MUXNWuemgpMmQJ8/rkuqPv4Yz0DPHcuMG0a0KmT79tv1gy47TbNaj/wADBnDtCnj/YZb+js\n8oEDWoN87bVaRrJqFXDddQ2PdhcBxo7Vrky7dmlp3ubNWqo3caKW6y1apJlsX915p2bEffn/0ZS6\nflgYVNto5Up9Ed15p5Zl9OwJVFbqi9tO27fXBtV2l39YNVOeyj8AttWLVDk5GjQlJ+vzF4y2ejt3\nnrxQ6pprtBTpscca58KjxmDWLKBDB32DnjIFePhh1sFHEocD+PZbPfBJS9Ne8wUF2l1n40ZN0DQ2\nwW6tV1mp75U//KBTAf/f/9P35ssv1wE0GRnAjBka9N52m9YX792rNcmXXabBoB2SkjS43bJFA+Pn\nn9eykv/5Hy2pqGv+fOD004FPPwX+8hctRbHe732RlqbB/LZtuq1779Vtdejg388xfrweFPzv/3r3\nf766Wrt+TJzYhEo/AJZ/2GnSJGOSk40pKdHvFyzQUx9ffmnfY1RVGRMba8z99+v3Dzyg39fU2LP9\nN97Qfd682fNtZswwpk0bnu6PJOXlxsTEGPPQQ/r9wIF66tJuvXoZc/nlJ1/+0kv6uvnqK/sfkwKT\nna3PzdNPa9nO9dfr95deakxZWbj3rmnbvNmYBx80JjNTn5OkJGOmTdPnrLH/f62q0vfL668PbDsH\nD+pr+5Zb9D34jDOM6dBBf591PxITjend25jzzzfmz382Zv360P+e163T/QS0nOKf/9TfxaFDxtx8\ns15++unGrFwZ2v3yxssv6/4tWtTwbb/6qvGUfhjD8o+QW7pUjwbvvlszhUBwOmXk5+vRvWumuqbG\nvulUDZV/APpzlZZqmxyKDD/9pNmuM8/U77t2tb/8wxj3mWqgdnHMY4/Z+5iRorTU/taVrnbvBu67\nr/5V+/569FH9PzF9upbtvPqqlhN8+ql2L9i2zf7HJM/KynRx2ahRmoH+n//RMo933tFM6d//rn/H\nDZ3qj3ZWa73PP/f/DJcxmv2dOVOz0du3a7eKyZP17Myrr+r2167VMpPycp0d8eWX+vd22mmh/z33\n7aulIN99p9ny3/1OzyBlZelzP3Om/j8fODC0++WNa67RjmPeDINpiqUfAMs/bPPww/piu/322svS\n0/W0h51t9ax2eq5BNWBfXbVV/tGmjefbWAcLW7fa85iRpKBAWyhFG6s/9YgR+rlrV/vLPw4c0JaL\n7oLq5s319OJ332nNXmMzdaoGQcEqmXjyST3V+9RT9m536VINKu65R9d6ABpE3H67Xr57tw6RCkY/\nfTrZCy/oafkbb9S/pyef1APVzz8HrryyiZ0mh5aAFBRozbA/3npLO3I89ZQmeVatAubN0y4VDz+s\nZTQXXgj066fvaZF0oDJqlJbsffihtk2sqtK/w6eeql2zEmlatgRuvlkPCupLFlpdP5pc6QdsCqpF\nZLyIbBSRLSJyn5vrx4pIqYisdH487O19o8EPPwBffAH84Q+6UMwSE2N//bHVTq9bN/2cmqqf7cqi\nlZToP5/YWM+3acy9qv/wB/1nV1ER7j3xTU6OZl2sWvjMTM2I2XUGAzixnZ47N96oWaLGlq0uLtbM\n1oYNwFdf2b/98nLtARsXp0GWdeBsh0cf1YP9GTNOvu788zXo7thRv37hBdbEB9OSJXowc/bZOhhs\n/Xr9f+PPorHGIpDWevn5wK236uCSu+6yd79CRQT45S/1f8uWLbo4NdLNmKH/q5591vNtFi6sXWzZ\n1AQcVItILIAXAEwA0BfAVBFx1/3we2NMlvPjUR/vG9EeekjfmNy9cfXsaW+mOi9Pg3UrsLEy1XYG\n1fWVfgCaJRdpnEH16tUaiH7xRbj3xHvG6Ju0VfoBaKYasDdb3VBQ3aKFZkS/+aZ2XHpjMHeullgl\nJOgiI7u99ZYG1m+/rX/b99xjz3aXLQM++0wDDk+Lrnr21NfOhAkaoNx0ky7wInuVlQFXXQV06QK8\n/74uKI6krGm4pKXp8JF583y7nzFaNlFVpQsL60sCRYOYGA1Uo0GnTnrm7rXXPHdu+eADPTNmdaJq\nSuzIVA8DsMUYs80YUwngXQCTQ3DfiPDtt3pUdv/9emqkLrvb6m3frv+Y4+P1e7uD6vpGlFuaNw/e\nYJtwqqnRlfaAvvFFi82b9dSna1BtBb52BtXWtqyA3Z2bb9bXZGPKVs+erdnEe+7RINXOGmRjtK3X\noEHa9ur++3Uc9TffBL7tRx/Vv+Vbb63/dklJegr9j38E/vEPHVZRWBj441Ot227T/91vvVW75obU\nhAl6EO5La71//EMTH08/XXvmlELnzjt1+M0//nHydU259AOwJ6juDMC1aVy+87K6RorIahGZLyL9\nfLwvRGSaiCwTkWX77WzMHABjdHpSly7ay9Idu9vq5eXVln4AwclUNxRUA/pzNbaa6h07tGa4TRut\nGQvGorFgsOqp3WWq7VysuHOnHjjWdyajVSvNjM6fH9gUsUhx5Ii+eV96qR4wxMQAL71k3/Z/+EFr\n+GfM0Mzl3XfrhLbf/16zcP5asUKnXN51lwbNDYmN1QVzb7+tz9vQodoilAL3zjvAv/+tZzTPOivc\nexN5rNZ63pZWbdumr+vzztO/SQq9rCzth/3ccxpEu1q0qOmWfgChW6j4M4BMY8wAAM8B+MTXDRhj\nXjHGDDHGDEm1ConD7PPP9Qj7wQc9j4+1+ovaVQLiOvgF0FMsLVrYt1DRm/IPoHH2qs7N1c+33w4c\nOqTPbzTIydEDgdNOq72sQwc9o2B3+UdmZsOnrWfM0AOzxx+377HD5csv9eDqsss0W/2LX2hHAXf9\nZf3x4ouauZw6Vb9PSNCV9evXa42zvx59VLd7222+3W/qVA30HQ7tDPLpp/7vA2l2+uab9Xf54IPh\n3pvINHy4/r/wpgTE4dBOQ7Gx+ncYw1YLYXPXXZos/OijEy9vyqUfgD1B9W4AGS7fd3FedpwxpswY\nc8j59TwA8SKS4s19I5Uxmnno1k3/yD2xc1FfRYVONKrbCN7OATDelH8A+nPt32/vQrhw27BBP99y\ni/5Oo6UEJCdHu364vsHExGiJjt2Zak/11K6SkvTAZM4c/1f1R4rZs/XvYfRo/f7WW/XA8513At/2\n3r36hnT99SeWjl1yiXYseOQR/8owVq3Sco477qi/i48ngwdrS6/+/YErrgCWL/d9G6QZvKuv1q//\n85/oqZkNNdfWeg1113n2We0w9H//593/Igqeiy/WpKHrMBjX0g935bBNgR1B9U8AThWRU0SkGYAr\nAZyQ3xCRNBHNb4nIMOfjFnlz30g1Z46+2TzyiI4j9cTOtno7d+qL17X8A7AvqDbG+/KPHj30c2Mq\nAcnN1W4qHTvqiuz//te+jGSwlJVpD1bX0g+L3W31vA2qAS1faN06urPVVVX6Gpg4sXYNw6hROu3s\n+ecD75Txz3/qY0yffuLlIho0HDmidc6+euyx2gMbf6Wlaf241fN3717/t9VUPfGElma99JJ/E/Ga\nkgkT9DVW30H4hg3693DJJTq+m8IrJkb/xyxdWrswfdEiTbY11dIPwIag2hhTDeBWAF8AyAXwvjFm\nnYjcLCJWxdOvAKwVkVUAngVwpXNIjdv7BrpPweZwaA/MXr2AX/+6/tva2VbPaqcXrEz1kSP6Ju9t\n+QfQ+IJqq4RiyhRdiOHrqvRQW7JEgzt3QXVmpn1B9bFjwL599S9SdNW2rZYefPSRljJEo++/14PM\nyy6rvUxEs9UrV9bWsvujuloHPVxwgfsR1L17a6b5tdf0Tctba9bo7/z22wNfEJeaqskD63cQbW0m\nw+nHH7UE59e/1q4fVL+GWutVV2sg3bKl9qBm55TIcN11+r/eGgbzwQf6HDXV0g/ApppqY8w8Y0wv\nY0wPY8wTzsteNsa87Pz6eWNMP2PMQGPMCGNMdn33jXQffKBvXn/6k3en9Oxqq1d38IslJcWemmpr\n8IsvmerGUldtzIlB9ejRWpcc6SUgOTn6BjN8+MnXde2qgxXsCIashba+nHK98079B/tEVPxVn2z2\nbD3LdOGFJ15+9dVaVhFIe73//lf77N5yi+fbPPSQZoxvu837oTOPPaZnCO64w/99czVwoC6yW7xY\na4PZx7phpaX6GunaNbC6+KakY0ctO/KUxHjqKT24fOkl/ZugyJCYqE0aPv5YY4GmXvoBcKKiz6qr\nteSjXz+tN/SGXW318vL0NHR6+omXp6bak6m2RpR7E1QnJmq/ysYSVBcW6s9vBdVxcdribO5czVhH\nqpyc2mlhdVlZ5fz8wB+noR7V7qSkaND47rv29moPBWO0LvmCC05+g0hM1EltH36oBy3+ePFFrXm/\n+GLPt0lKqg0m3nij4W2uW6f79Pvfe3e2yVu//KUmEF5/Xcebk2fGaDlPfr52UvGm8wopq7We9T5k\nWbVKX39XXKFnECmy3HqrnpG/+mqWfgAMqn329tvay3jWLO9XHtvVVi8vT4Oauo3uU1I0OxJICy6g\n9p+Zt2/IPXo0nqDa6vzh2kFjyhTt/DB3bnj2qSEOx8lDX1xZAbAdixX9CaoBbRHXvLm2a4smy5Zp\nYORa+uHqllv0APuVV3zf9saNwNdfa+a3oTNdV1+tz+999zW8KPjxxzXgv/NO3/epIQ89pMH1PfdE\n12CkUPvPf3QR65/+pIuHyXsTJuj/NNfWepWVwG9+o+9JzPpHpi5d9L1y6VJNQFx0Ubj3KLwYVPug\nqkqD6UGDPL/ZumNXW73t290veLF6VRcVBbZ9X8o/gMbVVs8Kqvv0qb3s7LP1VGOkloBs2KADEzwF\n1XZOVdy5U8tMfB2p3LGjnh58883oWuw2e7YevF5yifvre/bUIODll32fQPjSS3rG6YYbGr5tTIz2\ngt2/X//3eJKbC7z3nmaN2rf3bX+8EROj2fLTT9eM4aZN9j9GtNu6VQ+2Ro3yb4FpUzd8uAbPriUg\njz6qU27/8Y/gvK7JHtaBfFMv/QAYVPvk9de1jOPRR33rj2lXW726g18sdg2A8aX8A9Cfa8+eyO+Q\n4Y3cXM3yZbg0eIyN1VNZ8+bpGOlIY624HjnS/fVdumggbFdQnZamWWdfXX+9lj599lng+xEqn3wC\njBlT/1mbW2/VA4XZs73f7uHD+n/k8sv1gMMbgwfrSObnnvO86POJJ/TN7O67vd8XXyUm6sLF+Hhg\n0iTfJuA1dlVVelYhNlaz1dE+NjscYmNPbK23ZAnw5z/rYjhPB7cUGYYM0YXX9R34NxW22UB8AAAg\nAElEQVQMqr1UUaGLgIYPr78O0h072uodPqx1v/VlqgNdrOhr+Yd1sGDn2OZwyc3VLHXdVeVTpmjn\ni//+Nzz7VZ+cHH2uevVyf33z5hoI21H+sWOH950/6howQAP8SC2jqWvjRn09NHQ2avx4nX7oy2np\nt9/WMo76Fii688QTOq3y9ttPXiy4aZOWHFj91YOpa1ftLrJ1qw6KCXSdSGMxa5YGga+8wv7JgZgw\nQbsM5eRot4/OnVnHHy2mTTvxTG9TxaDaS//6l9ZEP/aY7+187GirZ2Ub3QXV1oDJQDPVxcWaLWjd\n2rvb2znYJtxcO3+4GjlS/7FHYgmINfSlvtejXb2qfelRXZeInhb86qvoaMtmZZ4nT67/djExGsh+\n/713Q26M0QB84EDPZxc8SU3VM2Rff61ZdFePP66TGO+5x7dt+mv0aP05Pv9ca72buu++0zUD11/P\nhXSBslrrXX65Hty+9pp/A4yIwoVBtZeuvlr/wM87z7/7B9pWz+pRHezyj7ZtvT9oaCxt9crLgd27\n3QfVMTH6D37+/MiaHllSoqUAnuqpLZmZgWeqjQksqAY0qD58WIcDRLrZs/V0pmspkCfXX69nobzJ\nVufkaPB9yy3+9dmdPl2nHN51ly6gBfRv76239LoOHXzfpr+mTdNx9H/9q7bcC5VIa+lXUqK9qHv0\n0Gl/FJgOHfRvr6BA/078fb8lChcG1V5q3VrfQP1tOh9oWz1Pg1+A2gUcdgXV3kpO1seO9gEw1nhy\nd0E1oNmnykrg0wia9blkiX5uKKju2lUDYm/7HLuzf79mmAMJqs89V4PPSC8B2b1bV7F7uxC5XTs9\n4P7Pf05uBVbXiy9qizVrdLWv4uK0rnr7duDpp/WyJ57Qia4zZ/q3zUA88wxwzjnAjTdqF5pg2bdP\nf+6RI/VnveYabR8Ybrt3a9vNggIt62nVKtx71Dj89rdaZvmXv4R7T4h8x6A6RAJtq7d9uwYl7hY3\nxcfrKbJAa6qLi30LqoHG0QHEXTs9V8OHa9YykkpAcnI0iz5sWP2369pVA+LCQv8fy992eq5atADG\njdOgOtKyja7mzNHPvnT3mTFDM8f/+pfn2xQW6tCo667TBX/+GjtWD/L+/GdgwQLtqnLzzd4verRT\nfLz+TJ076+9r9277tl1aqgs6L7hA16T8/vfAoUMaUM+erRn7Sy/1bdqkXRwOPUA67TT9O/z734Gh\nQ0O/H43V9Ol6kMaDFIpGDKpDJNC2elbnD0+ZcjsGwJSU+D40orEE1XFxteUsdcXEaCDzxRcNZyND\nJSdH25s1VP9uR69qqybb34WKlokT9XVsHcREotmzdeGnLwtusrK0/eILL3g+I/Dqq3pQPX164Pv4\n9NP6f2DCBA1s77038G36q317PYNz6JAGuVZZij+OHtVFkL/8pR4kXH+9/m+57z6dYLt6tZbg7dih\nA7i++04PeM87D/j229AcrK1bp8/1jBn62GvWaGaViAhgUB0ygS7q89ROz5KSYs9CRV8z1T16aMAW\nDQvQPMnN1YOe+HjPt5kyRdtmWZnMcKqpqX/oiys7elXbkakGarvmRGoJSEkJsHChZl19LfO69VYt\n7/r885Ovq6nRftbjxtmzOj4zE7j/fv2bmzZNJ5uGU//+Wte9fDlw1lk6rOOuu3Tx3t//roHyokXA\n2rXagtB1SFV1NfDll5rB79hRyyl+/BG46SZ9jW/dqiUu/fvX3qd9ex2usmOHHmCsW6e/2zPP1AA/\nkFInTyoqgIcf1hkFmzZpz+4vv/R8IE5ETVMD87zILoG21du+vf4gKiUl8NOvvtZUA3qw4HDo/vXu\nHdjjh0tu7olv2u4MHaoHNe+/rwFAOK1fr4srvQmqrUA40KA6MdH310ZdXbpoVnfu3PBmVz2ZO1eD\nPF9KPyyXXabB7fPPnzxR7LPP9Hf4zDP27CegNdRt2/pfn223SZP0wOGVV7QbyoEDmr32JClJ/2eV\nlelt27TRBcFTp2qdtjd9nlu31o4nt96qpSJ/+Yt2bOnfX7PbV1zR8MRKb3z/vdaNb9yov+9nnqnt\nuERE5IqZ6hCx2ur5E1SXlmrA626RoiXQTLXDocMc/Cn/AKJ3sWJlpe57QxlEEc1Wf/VV4JMrA9XQ\n0BdXyckawARS/mF1/vB3ka6riRM1E2lN74wkn3yiB7/+1Mc2a6bZ1fnzTz4b9cILWnc8aZI9+wlo\nD/IZM/T5jRTTpul497w8Peg7elRHva9aBXzzjU58fPFFbQ143XXaDvKii7TkZt8+LZE57zzfB6ck\nJGhd+ebNumDUGO3I0bu3Bvo7d/pXGnLwoD6no0drpvrzz3X7DKiJyBNmqkOoZ0//6knra6dnSUnR\nhYrG+Bf8lJVpYO1PphqI3rrqzZv19LynRYqupkwBnnpKgy9vRkwHS06OPt/ennoOtFd1oO30XE2c\nqH2VP/8cuOoqe7Zph6NHdZ+uu863aamupk3Tn+3FF4H//V+9bPNmLRN49FF7sqbRJCFBDyZ8HW3v\nr7g4zSRPnarDmp54oraGvU0bXYNgfQwYoBltdz2QjQE+/hi47TYN9u++W4e7BLLAlIiaBlsy1SIy\nXkQ2isgWETlpHICIXC0iq0VkjYhki8hAl+u2Oy9fKSLL7NifSOVvW73t2/VzfZnq1FSd/OfvyHBf\nR5RbUlL0NGy0BtUNdf5wdcYZOkEv3F1AsrO19MPbg6dAe1Xv3Bn4IkXL0KH6Wo20uuovv9S/nUsv\n9X8bnTppTfBrr2lPbkAzpXFxWj5AoRETo2UgS5Zod5CXXqotk3n7be1/fPbZmuXv1k1HYD/wAPDu\nu1rHfdll+jympen9//pXBtRE5J2AcyciEgvgBQDnA8gH8JOIfGqMWe9yszwAY4wxJSIyAcArAIa7\nXH+OMSbAZXaRz7WtXn1Z57rq61FtcR0A488bgK8jyi0i0d0BxAqqvVlAJqJ1mk89pWcFwnEauKhI\nF0r5UtfdtasG4v44elTbwdmVqY6J0QWLn3yi9cuRkr2dPVuDrLFjA9vOrbdqcPbWW1qC8Npr2s0i\nLc2W3SQfiOhBnGs5jzH6/9fqJmJ9/vxzfT0CuvblqaeAO++MnNcnEUUHOzLVwwBsMcZsM8ZUAngX\nwAkDfo0x2cYYqxnZYgBdbHjcqONvW728PM0G15dFDnSqolXj6s9itJ49o7emesMGDRi9PRCZMkXP\nNFijrEPNGrLhy5jrzEw9aCov9/3xrL7qdgXVgJaAHDzof6Bvt+pqLReYOLH+DjDeGDlSx5A//zzw\nzjv6c95yiz37SYET0dfyxRcDf/yjZq7XrtVFlStX6gHR+vW6EJQBNRH5yo6gujMA15Em+c7LPLkB\nwHyX7w2Ar0VkuYhM83QnEZkmIstEZNn+QKechIkVVPua1d2+XbPU9Z3ut4Jqf381/pZ/ABpU5+XV\nZnqiSW6ud6UfloED9XkMVwlITo4u5BoyxPv7WKUb/pSA2NVOz9X552vwGiklIN9/rweV/nT9qEtE\ns9Vr1mgHiv79gVGjAt8uBVfz5vq3fcUVvp1FJCJyFdLuHyJyDjSo/oPLxWcbY7IATAAwQ0RGu7uv\nMeYVY8wQY8yQ1Chdft2pk39t9fLy6i/9AGpLEfzNVPtb/gFoUF1V5f+0yHBxODRT7UtQbZWALFig\ni5hCLTtb3/x9KfEJpFd1MILqpCRgzBhtNWeXr7/2//mYPVsX1V14oT37ctVVWkpy4IBmqe3omkJE\nRJHPjqB6N4AMl++7OC87gYgMAPBPAJONMcebkhljdjs/FwKYDS0naZT8aatnTMODX4Dwln9YXSii\nra56506tGfYlqAa0BMTh0A4BoVRdrQunvOlP7SqQqYo7d2pQ2MXmgq2LL9bT7Nu2Bb6t7GzNfg8a\nVFse4y1jtL77ggvsW4zWsqUG0ykpWldNRERNgx1B9U8AThWRU0SkGYArAXzqegMRyQTwMYBrjDGb\nXC5PFJHW1tcALgCw1oZ9ili+LuorKtJOAg1lqtu00bKAQDLVzZppJt1XwexVXVUF/PyzruC/7jod\nHmJX6YUvnT9c9e+vCxtDXQKydq2+Fnyppwb0DEl8vH+Z6h07tHdzoLXGdU2cqJ/tyFbPmqUBbIsW\nmgH/5z+9v+/y5XqGxY7SD1ePPqoHDA2NkSciosYj4KDaGFMN4FYAXwDIBfC+MWadiNwsIjc7b/Yw\ngPYAXqzTOq8jgB9EZBWApQA+M8a4GfTbePjaVs+bzh+AZsHbtw8sqG7Xzr9T1VZZS6CZamM0M/rB\nBzopbdQoPVgYPFgzf/Pm6e/j1VcDexyLv0G1VQKyaBFQUGDPvnjDGvria6Y6JgbIyPC//MPO0g9L\nz546nCPQuursbG2H94c/AD/9pN07brxRXy+VlQ3f/5NP9GD0kksC24+6YmMZUBMRNTW21FQbY+YZ\nY3oZY3oYY55wXvayMeZl59e/M8a0NcZkOT+GOC/fZowZ6PzoZ923MXNtq+cNbwa/WKwBMP4oLvZ/\nDHVMjJaA+BNU5+QATz6pmcLOnbX+d8oU7Z5QU6MTzd55Rw9E9u0Drr1WF5Z5EzA1JDdXf2dW6Ywv\nLr9cDwI++ijw/fBWdjbQsaN/C6n87VUdrKAa0Gz1woX+dSWxzJql6wmmT9eDwnnzdAT6Sy8B554L\n7N1b//1nz9aJee3b+78PREREAMeUh5yvbfW8GfxiSU0NLFPtb1AN+B5UV1bqmOWRI7W11dq1wLhx\nwHPPad1wWZkGkc88A1x5ZW33k3HjtA7a19pZd3JzvetP7U6/fvoRyhKQnBzfhr648meqosOhB3/B\nDKorK3WRoT9ycjRLPXNmbT10bCzwl7/ogdjPP2uXlKVL3d9/0yat6w5k4AsREZGFQXWI+RpU5+Vp\nFs2bU8kpKYGXf/jL6lXtcDR82717NTh+8UUt8zhwQH8fb76p7ciGDtX6bnfGjNHM+Dff+L+vgGaZ\nfW2nV9eUKcAPPwC7T1qWa7/CQv39+lpPbcnMBPbs0Rp1b+3fD1RUBC+oPussLe/xtwTEqqV21wf6\nyis16I6P1zKi1147+TZWr3EG1UREZAcG1SHma/2xN50/LIEE1YGUfwAaVB871nCN8ZIlmj1cvlyz\niU8/7dup9+RkrbEONKg+cEB/5kCDamOADz8MbF+8YWXmfa2ntnTtqgc8vhwAWJltu0aU1xUfD4wf\nr4sVvTkYc5WTA3zxhZZ6eOraMXAgsGyZlnfccIMesLkeVHzyib6WgnXQQERETQuD6hDzta2eNfjF\nGykp2i3E1wAFCLz8w+oAUt/BwmuvaYATH69B0ZVX+vdY48ZpcH7okH/3B/xfpOiqTx9gwIDQlIBk\nZ+uEt8GD/bu/P72qg9Gjuq6JE7VWfvly3+5XX5baVfv2wPz5ekbkhRf0tbNvn2btFy+2v+sHERE1\nXQyqw8DbtnoOh+9BdU2Njkb2RXW11jAHUv5RX6/qykoNfm64QYPqZcs0i+ivceN0n7//3v9t2BFU\nAzroIztbW6gZE9i26pOTo32Y/Wl5CPjXqzoUQfX48Xqg6UsJiDdZaldxcXpG5K239LU3eDDw2GN6\nHUs/iIjILgyqw8Dbtnp792pNq7flH/5OVbSC8EAy1RkZmoGuG1Rb9dMvvaQLyubPD7zTwsiRWnMd\nSAlIbq4O6cjIaPi29bnzTuA3vwEeeQT47W/t6UpSV1WVtovzt/QDqP05fc1Ut2qlJTfBkpKiP5cv\nQbW3Weq6rroK+PFHDbJffln/Dvv29W0bREREnjCoDgNv2+r50vkD8H+qYiAjyi1xcbqfrgNg6tZP\nP/WU3i5QLVtqYP3tt/5vw+r8ERPgX0CzZsDrr2tQ/frrwEUXAaWlgW2zrtWrteOJv4sUAc1wd+jg\ne6Y6MzP4Y7YnTtROHd7Ue/uapa5r0CDNVl91FXD//RwhTkRE9mFQHQbedgDxdvCLJdCgOpBMNXBi\nWcurr9pTP+3JuHHAypVaQ+6PQDt/uBIB/vQnDaoXLdKuFv70hPYkO1s/B5KpBnxvq7dzZ/AWKbqy\npivOm9fwbf3NUrtKSdFSkOuu838bREREdTGoDgNfg2pvAxsrqPZ1AExxsX62K6i+5Rbgd7+zp37a\nk3PP1RrmBQt8v++hQ3qWwK6g2nLttcDnnwP5+cDw4Zp9tUNOjo4KD7RUxdegeseO0HTG6NdP962h\nEpDFizVL7dqXmoiIKFIwqA4Db9vqbd8OpKV5vzjN35pqO8o/AF2sWF5ub/20J0OHar2vP3XVGzbo\nZ7uDakAz6D/+qGUho0dru7hABTL0xZU1VdGbBZVHjujrKBRBtYhmq7/+WtsyemJHlpqIiChYGFSH\ngbdt9fLyvC/9ALTWuEWL8JV/nHOOBtZ21k97Eh+vg2D8qau2On/4O02xIf36aVa1d29g0iQ9yPBV\nUZEOxznzTD24Gj068P3q2lVrs715fVj1/qHq4TxxogbyCxe6v37xYj0LMHOmHkwRERFFGgbVYeJN\nWz1fBr9Y/BkAY1f5x+mn689kd/20J+PG6ajp/Hzf7pebq+Osrd7awdCpk9ZXT5igmdWZMxvuH15R\nAXz8sfZO7tRJx7gfOqQHKNOnB75PVoDsTQlIKNrpuRo7Vg8KPZWAMEtNRESRjkF1mDTUVq+6WrOF\nvmSqAQ08fK2pLinRGlVPo8Ej1bnn6mdfS0A2bNCAOtg/b6tWOrXvlluAv/4VuOIKzRS7MkbLO6ZP\n10D6l7/U72+7DVixQjt/zJypmflAWbX53iyitG4TioWKAJCQAJx/vgbVdctTmKUmIqJoEMQT9FQf\nq63ezp3uA+fduzWw9ieo9qf8I9AsdTicfrr+vN98o4sEvWVn54+GxMUBzz8PdO+uU/127wbmzNHa\n8zffBP7zH83ut2ihg0h+8xvgvPOCUzrjy1TFHTu0TCk93f798OTii/V3s24d0L9/7eXMUhMRUTRg\nUB0mVgeQLVvcB85W5w9fyz9SUzUD7ovi4ugMqmNiNFv97bea3fRmIV9Vlf7OQzmeWgS4+24Naq+5\nRp/70lK9fOxY4IEHgF/8AkhKCu5+tG2rZyS8zVSnp9uTIffWRRfp57lza4PqJUs0S/3kk8xSExFR\nZLOl/ENExsv/b+/eg+QqyzyO/54ZJjcyMJAZsmFyATWmpCwZNbKgQAUSLJJFgguFYsEmVVpBQYsg\nuAKLtboiUpZoaktgiYpkhVWzIhIwbIoEECgRHTRCNAmwuYfcZ0LYBHJ99o/3HKbT0z3T3eck3XP6\n+6ma6tPnMnPM24bfvHnO85qtNLPXzOymAsfNzP49Ov6SmX2o1Guzqr+2euX2qI5VOlOdtPNHtUye\nHGZ/X3mltPNfey38C8DRmqnOddll4ReASZOk228PDyA++WTol3ykA7UUQnypbfXihV+OpvZ26UMf\nOryu+hvfCB1krr326N4LAADlShyqzaxR0l2Spko6TdIVZpa/+O9USeOjr1mS7inj2kzqr63emjVh\nJrbc3sStrWEWdP/+0q8ZqDPVUvl11XHnj2qEail08/j1r6Wbbz76oVUKP7NWQ7UUuoA8/3z4xfCF\nF0JbRmqpAQADQRrlH2dIes3dV0mSmf1c0nRJf8s5Z7qk/3R3l/R7M2sxs1GSTinh2poxadKkXvsu\nv/xyXXPNNdqzZ4+mxf9+nWPmzJmaOXOmtm/frssuu+ywYw0NP9ZvfztEUrvWr1+vq6666p1jK1bc\nrKamDi1a9Ad94hOf0MqVK3X11Vf3+v633nqrpkyZoqVLl2r27Nl6/fWLJX1Z5577jxo8uEu33367\nPvrRj+p3v/udbrnlll7Xz5kzR93dHXrrrdc1adJneh2/9957NWHCBD366KO68847ex3/6U9/qjFj\nxugXv/iF7inQO+6Xv/ylWltbdf/99+v+++/vdXzhwoUaNmyY7r77bs2fP7/X8aejHmvf/e539Vhe\na4ihQ4dq4cLHNXasdNddyzV//uEtMkaMGKGHHnpIknTzzTfr+eef19q1V0r6nK6/fqrGjRuhBx54\nQJI0e/ZsLV269LDr3/ve92ru3LmSpFmzZumVvOnwjo4OzZkzR5J05ZVXakNeG5KzzjpL3/72tyVJ\nl156qXbkLf84efJkfe1rX5MkTZ06VW/lPcV40UUX6cYbb5SU3mfvlVe+rO3bz9WkSZfoC1/4gj71\nqU/1+uy5m1atWqTTT18n6T0lf/bylfLZ6+jo0OLFi3XbbbdJknbtmqBDh+7VOed8SyeddJ1GjBiu\nU09dqEmTvtPr+mp/9h5//HFJ0je/+U0tyfutrtBnL9fo0aPr7rOXq9hnL3bDDTeU9fdevko+e7lq\n/e89Pnt89urxs/d0sZ6rNSSN8o92Setz3m+I9pVyTinXSpLMbJaZdZpZ57Zy21vUqKFDN2rz5uaC\nx956a5SGDNlU9vdsanpDkrR///ElX9PdLTU3lzG1XUPMQgnI6tWnyL3/ouo9e8Zp8OAtamx8q99z\ns2jIkM3av79FBw8OKXrOvn0nyH2QTjppz1G8s6C5+RU1NXVp/for9Mwzw/WVr0hDhxZpkQMAQA0x\nL2V5tb6+gdllki50989F76+S9Pfu/sWccx6TdIe7Pxe9XyLpqwoz1X1eW8jEiRO9s7Mz0X3Xgq9+\nVZozJyx60dh4+LExY0JYLPCLZp+efjoswvLkk+G1P3v3hnZmt90WHpgbiB54IDwA+OKLoSa3Lx/+\ncCiRWbTo6NxbrXnwQenKK0MZTLHFb154QTrzTOnRR0M5xtH22c9K990XaqnXrKH0AwBQXWb2ortP\n7O+8NGaqN0rKrfwdHe0r5ZxSrs2s8eN72url2rs3PHxXbucPKQRGqfSHFdNaTbGaSq2rPnQo9Kiu\nVj11LSilrd7RXvglXxzkqaUGAAwkaYTqP0oab2anmtkgSZ+WtCDvnAWS/inqAnKmpDfcfVOJ12ZW\nvKJf/sOK69aFFnHldv6QekJ1qRUycageqN0/pND67X3v6z9Ur18f/lXgSC1PPhAMhFB98cVhRr1A\nuSIAADUrcah29wOSvihpkaTlkua7+1/N7PNm9vnotIWSVkl6TdIPJV3T17VJ72mgKNZWb82a8FpJ\nqB4xIryWOlOd1hLl1TZ5svTss2Hmv5gVK8JrPc9UjxoVSo366lW9bp3U3CwdX3pZfqoaG6XPfEYa\nPLg6Px8AgEqksviLuy9UCM65+/4jZ9slFew0W+jaelGsrV6lC79IYbGOlpb6Kv+QQgnID34Q6oHP\nOafwOdVup1cLjjlGGj26/5nqceNKW0wHAAAEqSz+gso0NIQSkPyZ6tWrQzhuL9gHpX/lLACThfIP\nKSyo0tDQdwnI8uXhf2db21G7rZo0dmzfM9Vr11av9AMAgIGKUF1lhUL1mjUh1OR3BClVOaE6K+Uf\nJ5wQOn88+WTxc5YvD7PU9T4D29+qitVa+AUAgIGMUF1l48dLq1ZJB3Na8a5eXVnpR6y1tfwHFVta\nKv95tWLyZOn3v5d27y58PA7V9W7cOGnDhrBce77du6UdOwjVAACUi1BdZePHhyXFc/85fvXqyh5S\njJVb/nH88ZXPiteS888Pf5bPPtv72Pbt4YtQHQLzwYPSpgJrC61f33MOAAAoHaG6yvLb6u3ZI23d\nmixUt7WFAFnKuj5dXQO/9CN29tnSoEGF66p5SLFHX2314l/u4nMAAEBpCNVVlt9WL26nl7T84+23\nQ0DvT3d3dkL1sGHSWWcVrqsmVPeIZ6ELPawYB21mqgEAKA+husry2+rF7fSSln9IpdVVd3cP/M4f\nuc4/X/rzn3sewIwtXx7+nAmLPX8GxWaqGxrCgjoAAKB0hOoqy2+rl2Thl1g5S5VnqfxDCg8ruktP\nPXX4/hUrpAkTwp93vTv22PAZKRaq29tDP2sAAFA6IkYNyA3Vq1dLQ4ZII0dW/v3iPsylhOqszVSf\ncYY0fHjvumo6fxyuWK9q2ukBAFAZQnUNyG2rF7fTS9JLudSZavds1VRLYdGcc889vK569+4wK0uo\n7lGsVzWhGgCAyhCqa0BuW701a5KVfkilh+o9e6R9+7IVqqVQV71ypbRxY3i/cmV4JVT3GDs2hOrc\nDjGHDoWWenT+AACgfITqGpDbVi/pwi9ST9/p/h5UzMoS5fkmTw6vcQkInT96GzcuzODHnwFJ2rw5\n/HLHTDUAAOUjVNeAuK1eZ2cIOUlnqhsapBEj+p+pjgNV1maqP/CBMFufG6obG3v+nFG4V3VcY02o\nBgCgfITqGhC31Vu8OLxPGqqlngVg+hK3nctaqG5okM47L9RVu4dQ/e53h4VhEBTqVU2oBgCgcolC\ntZmdaGZPmNmr0WuveGZmY8zsKTP7m5n91cyuyzn2dTPbaGZLo69pSe5noIrb6j33XHiftPxDKm2p\n8qyWf0ihrnrDhtBVhc4fvTFTDQBAupLOVN8kaYm7j5e0JHqf74CkG9z9NElnSrrWzE7LOf59d++I\nvhYmvJ8B6z3vCQ8NSunMVLe2ll5TnbWZaqmnrnrRohCsCdWHa20N/zqSH6qPPz58AQCA8iQN1dMl\nzYu250m6JP8Ed9/k7n+Ktt+UtFxSe8KfmzlxvW9zczozx6XMVGe1/EMKv6SMGSPNnSsdOECozmfW\nu1f12rXMUgMAUKmkoXqku2+KtjdL6nPJEjM7RdIHJb2Qs/tLZvaSmd1XqHykXsShOmmP6lhbm7Rj\nR2iTVkx3d3iA77jjkv+8WmMWSkCWLQvvCdW95feqpkc1AACV6zdUm9liM1tW4Gt67nnu7pK8yLeR\nmQ2X9JCk2e6+K9p9j6R3SeqQtEnSnX1cP8vMOs2sc1t/dQ0DUNxWL43SDynMVB86JO3cWfyc7m6p\npSWdEF+L4hIQKSxRjsPlz1QTqgEAqNwx/Z3g7lOKHTOzLWY2yt03mdkoSVuLnNekEKgfdPdf5Xzv\nLTnn/FDSY33cx1xJcyVp4sSJRcP7QBXPVKcZqqVQAlKsnKSrK5ulH7E4VLe3Zxy8yzkAAAtkSURB\nVHM2Pqlx46QtW6S33w4lMl1dhGoAACqVtPxjgaQZ0fYMSY/kn2BmJunHkpa7+/fyjo3KeftJScsS\n3s+AdfLJ0syZ0qWXpvP94lDd16R+d3c2O3/ETj5Zev/7pdNPr/ad1Ka4A8i6dWElxdx9AACgPP3O\nVPfjDknzzeyzktZKulySzOxkST9y92mSPibpKkkvm9nS6Lpbok4f3zGzDoWykTWSrk54PwOWmfST\nn6T3/UpZqryrK9uhWpJ+8xupqanad1GbcntVHzhw+D4AAFCeRKHa3XdImlxg/+uSpkXbz0kqWLXr\n7lcl+fkorq0tvPYVqru7w6IoWUZILC63V/XBg2GbPy8AACqTdKYaNaqUmeqsl3+gb+3tYeGhdetC\nqG5sDKt7AgCA8hGqM2rYsLC4R7Ga6kOHQqjO8oOK6FtTU6g7X7s2fB7a26Vj+BsBAICK8J/QDOtr\nAZg33wxBilBd3+Je1e6UfgAAkETS7h+oYX2F6niJcso/6lvcq3rtWjp/AACQBKE6w9raiofqLC9R\njtKNGxfa6W3YwEw1AABJEKozrJSZakJ1fRs7Vtq/P7TUI1QDAFA5QnWGtbYWf1CR8g9Ih5d8EKoB\nAKgcoTrDWlulXbukfft6H6P8AxKhGgCAtBCqMyxeAGbHjt7HKP+AdHiQJlQDAFA5QnWG9bUATHe3\nNGhQ6GeN+tXcHH6xammRjjuu2ncDAMDARZ/qDItDdaG66q6uEKas4ALyqCdjx4Y+1QAAoHKE6gzr\nb6aahxQhSddfHxYCAgAAlSNUZ1h/oZp6akjSjBnVvgMAAAY+aqozbMSI8FooVMflHwAAAEiOUJ1h\nTU3hATTKPwAAAI6sRKHazE40syfM7NXoteDcp5mtMbOXzWypmXWWez0qV2wBGMo/AAAA0pN0pvom\nSUvcfbykJdH7Ys5z9w53n1jh9ahAoaXKDx6U3niDUA0AAJCWpKF6uqR50fY8SZcc5evRj7a23qF6\n587wSvkHAABAOpKG6pHuvina3ixpZJHzXNJiM3vRzGZVcL3MbJaZdZpZ57ZC9QwoqNBMNaspAgAA\npKvflnpmtljS3xU49C+5b9zdzazYEhJnu/tGMztJ0hNmtsLdnynjern7XElzJWnixIksVVGiuKba\nvWehl66u8EqoBgAASEe/odrdpxQ7ZmZbzGyUu28ys1GSthb5Hhuj161m9rCkMyQ9I6mk61G51lZp\n715p925p+PCwL56ppvwDAAAgHUnLPxZIipeOmCHpkfwTzOxYM2uOtyV9XNKyUq9HMoUWgKH8AwAA\nIF1JQ/Udki4ws1clTYney8xONrOF0TkjJT1nZn+R9AdJv3H3/+nreqSnrS285oZqyj8AAADSlWiZ\ncnffIWlygf2vS5oWba+SdHo51yM9zFQDAAAceayomHFxqM5tmNLdLQ0bJg0eXJ17AgAAyBpCdcYV\nmqnu6mKWGgAAIE2E6oxraZEaG3uXf9D5AwAAID2E6owz670ADDPVAAAA6SJU14F4AZhYdzehGgAA\nIE2E6jqQP1NN+QcAAEC6CNV1gPIPAACAI4tQXQfa2npC9b590p49hGoAAIA0EarrQGurtGOHdOhQ\nz8IvlH8AAACkh1BdB1pbewI1S5QDAACkj1BdB3IXgGGmGgAAIH3HVPsGcOTlhuqdO8M2M9UAAADp\nIVTXgba28Lp9u7RrV9gmVAMAAKSHUF0H4pnqbdtC5w+J8g8AAIA0EarrQG75x969YbulpXr3AwAA\nkDWJHlQ0sxPN7AkzezV67VVUYGYTzGxpztcuM5sdHfu6mW3MOTYtyf2gsGHDpKFDQ6ju6pKOO05q\nbKz2XQEAAGRH0u4fN0la4u7jJS2J3h/G3Ve6e4e7d0j6sKQ9kh7OOeX78XF3X5jwflBEvAAMS5QD\nAACkL2moni5pXrQ9T9Il/Zw/WdL/uvvahD8XZYqXKu/u5iFFAACAtCUN1SPdfVO0vVnSyH7O/7Sk\nn+Xt+5KZvWRm9xUqH4mZ2Swz6zSzzm3btiW45frU2hoeVOzqIlQDAACkrd9QbWaLzWxZga/puee5\nu0vyPr7PIEkXS/rvnN33SHqXpA5JmyTdWex6d5/r7hPdfWJb3CMOJcudqab8AwAAIF39dv9w9ynF\njpnZFjMb5e6bzGyUpK19fKupkv7k7ltyvvc722b2Q0mPlXbbKFccqocNY6YaAAAgbUnLPxZImhFt\nz5D0SB/nXqG80o8oiMc+KWlZwvtBEW1tYeGX7dsJ1QAAAGlLGqrvkHSBmb0qaUr0XmZ2spm908nD\nzI6VdIGkX+Vd/x0ze9nMXpJ0nqTrE94Pioh7VR84QPkHAABA2hIt/uLuOxQ6euTvf13StJz3uyWN\nKHDeVUl+PkoXh2qJmWoAAIC0JZ2pxgBBqAYAADhyCNV1IrdhCuUfAAAA6SJU1wlmqgEAAI4cQnWd\nyJ2dJlQDAACki1BdJ5qapJaWsE35BwAAQLoI1XWktVVqaJCam6t9JwAAANlCqK4jbW1htrqBUQcA\nAEgV8aqOtLVR+gEAAHAkJFr8BQPLrbeGZcoBAACQLkJ1HfnIR6p9BwAAANlE+QcAAACQEKEaAAAA\nSIhQDQAAACREqAYAAAASIlQDAAAACRGqAQAAgIQI1QAAAEBC5u7Vvoeymdk2SWur8KNbJbF8SvYx\nzvWBca4PjHP2Mcb1oZrjPM7d2/o7aUCG6moxs053n1jt+8CRxTjXB8a5PjDO2ccY14eBMM6UfwAA\nAAAJEaoBAACAhAjV5Zlb7RvAUcE41wfGuT4wztnHGNeHmh9naqoBAACAhJipBgAAABIiVAMAAAAJ\nEapLZGYXmtlKM3vNzG6q9v0gHWZ2n5ltNbNlOftONLMnzOzV6PWEat4jkjGzMWb2lJn9zcz+ambX\nRfsZ5wwxsyFm9gcz+0s0zt+I9jPOGWNmjWb2ZzN7LHrPGGeQma0xs5fNbKmZdUb7anqsCdUlMLNG\nSXdJmirpNElXmNlp1b0rpOR+SRfm7btJ0hJ3Hy9pSfQeA9cBSTe4+2mSzpR0bfT/X8Y5W/ZKOt/d\nT5fUIelCMztTjHMWXSdpec57xji7znP3jpz+1DU91oTq0pwh6TV3X+Xu+yT9XNL0Kt8TUuDuz0jq\nyts9XdK8aHuepEuO6k0hVe6+yd3/FG2/qfAf43Yxzpniwf9Fb5uiLxfjnClmNlrSP0j6Uc5uxrh+\n1PRYE6pL0y5pfc77DdE+ZNNId98UbW+WNLKaN4P0mNkpkj4o6QUxzpkTlQUslbRV0hPuzjhnzxxJ\n/yzpUM4+xjibXNJiM3vRzGZF+2p6rI+p9g0Atczd3czoO5kBZjZc0kOSZrv7LjN75xjjnA3uflBS\nh5m1SHrYzN6fd5xxHsDM7CJJW939RTObVOgcxjhTznb3jWZ2kqQnzGxF7sFaHGtmqkuzUdKYnPej\no33Ipi1mNkqSotetVb4fJGRmTQqB+kF3/1W0m3HOKHffKekpheclGOfs+Jiki81sjUIZ5vlm9oAY\n40xy943R61ZJDyuU4tb0WBOqS/NHSePN7FQzGyTp05IWVPmecOQskDQj2p4h6ZEq3gsSsjAl/WNJ\ny939ezmHGOcMMbO2aIZaZjZU0gWSVohxzgx3v9ndR7v7KQr/HX7S3a8UY5w5ZnasmTXH25I+LmmZ\nanysWVGxRGY2TaGWq1HSfe7+rSrfElJgZj+TNElSq6Qtkv5V0q8lzZc0VtJaSZe7e/7DjBggzOxs\nSc9Kelk9dZi3KNRVM84ZYWYfUHhwqVFhwmi+u/+bmY0Q45w5UfnHje5+EWOcPWb2LoXZaSmUKv+X\nu3+r1seaUA0AAAAkRPkHAAAAkBChGgAAAEiIUA0AAAAkRKgGAAAAEiJUAwAAAAkRqgEAAICECNUA\nAABAQv8PoPjKWMdBJMYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23b0605e8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,8))\n",
    "plt.subplot(211)\n",
    "plt.plot(data.close.iloc[-nLen:].values)\n",
    "plt.subplot(212)\n",
    "plt.plot(maenValues, color='b')\n",
    "plt.hlines(0, 0, nLen, linestyles='dashed')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 改进思路\n",
    "1. 预测的对象是两个相关性高的价差\n",
    "2. 根据条件异方差对策略类型的权重和仓位进行调整\n",
    "3. 直接用条件异方差作为因子选股\n",
    "4. 针对做低波动率的策略进行预测过滤，防范异常大的残差"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
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